Answers
Answer:
With the information provided in picture, you can use the property of tangent line of circle to prove that two right triangle ACO and ABO are congruent (AO shared, ACO = ABO = 90 deg, OC = OB = radius of circle O).
Then AB = AC = 4
=> Hope this helps!
:)
Related Questions
a candle maker sells sets of candles in the shape of square pyramids. the volume of a smaller candle is 125 cubic centimeters. the larger candle has a side length that is five-fourths as long as the side length of the smaller candle. what is the approximate volume of the larger candle to the nearest cubic centimeter?
Answers
The approximate volume of the larger candle is 244 cubic centimeters.
To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."
According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.
The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.
Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.
Let's substitute the values into the volume ratio equation:
(125 / V_larger) = (s_larger / s_smaller)^3
Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:
(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3
Simplifying the equation:
(125 / V_larger) = (5/4)^3
Calculating (5/4)^3:
(125 / V_larger) = (125 / 64)
Cross-multiplying the equation:
125 * 64 = V_larger * 125
Solving for V_larger:
V_larger = (125 * 64) / 125
Approximating the value:
V_larger ≈ 64 cubic centimeters
The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter
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Which of the following is a quantitative variable?
Temperatures in New York from January to March
Price of gas at three different gas stations
Population density of a town
Symbols of elements on the periodic table
Answers
Answers: A, B, C
These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.
In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).
Jimmy's average, after taking 20 quizzes, is 82. the teacher tells him that if he fixes his mistakes, she will give him back some points. after jimmy fixes his mistakes, his average raised to 93. how many points did his teacher give back?
Answers
According to the solving the average number of points Jimmy's teacher gave him back 220 points.
The mathematical average is what?In mathematics, the average value of a group of numbers is really the middle value. To compute this, divide the total number of numbers by the sum of all the values. Add all of the numbers in a set of data, then divide the result by the total number of values to get the average.
You add up all the scores, divide by the total number of scores, and then arrive at the average. Jimmy completed 20 quizzes, and if his average was 82, that means the total of all of his scores was 20 * 82, or 1640.
Jimmy's scores improved in total by an identical amount if his average rose to 93 after he corrected his errors.
According to the given information:1640 + x = 20 * 93
Solving for x, we get:
x = 20 * 93 - 1640
= 1860 - 1640
= 220
According to the solving the average number of points Jimmy's teacher gave him back 220 points.
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What is the equation of the line that passes through the point (1,3)and has a slope of 6
Answers
Answer:
y = 6x - 3
Step-by-step explanation:
y = mx + B
3 = 6(1) + B
3 = 6 + b
3 - 6 = b
-3 = b
b = -3
3 = 6(1) - 3
3 = 3
y = 6x - 3
Click an item in the list of groups of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place.
What is the equation of the exponential graph shown
Answers
An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of an exponential function is given by the formula,
y = A (B)ˣ
Now as per the graph, there are two points (1, 50) and (2, 25).
50 = A (B)¹
50 = AB
A = 50/B
Substitute another point in the equation,.
25 = A (B)²
25 = (50/B) (B)²
25 = 50B
B = 0.5
Substitute the value of B,
A = 50/0.5 = 100
Hence, the equation of the exponential graph is A=100(0.5)ˣ.
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Linear equation of 5x-2y=40 and 2y+10x-6=0
Answers
Answer:
linear equation for 2y+10x=60 is y=-5x+30 .. the other one is invalid
Step-by-step explanation:
A software engineer seeks promotion in his tech firm. His manager is aware that his ability, θ, is uniformly distributed in the interval [
θ
,
θ
ˉ
]. Assume that the employee knows his ability. To convince his manager that he is worth promoting, the employee has an option of taking a sabbatical and getting an Executive MBA degree, and disclosing the resulting GPA when applying for the promotion. The manager wants to promote the employee only if his ability is at least
θ
^
. The payoff of the employee from being promoted is θk for some k>0 given. This means that a higher ability employee has more to gain from being promoted. 1. Suppose that the employee did not have the option of taking a year off for an Executive MBA degree. What would be the outcome? 2. Now assume that the employee can costlessly apply and be accepted for the MBA degree. However, his GPA perfectly reveals his ability to the manager. What would be the outcome? Who gains and who loses from the introduction of taking a sabbatical? Going forward, assume that
θ
^
>
2
θ+
θ
ˉ
. 3. Assume now that there is a fixed fee c for getting accepted into the MBA program. Find a perfect Bayesian equilibrium (PBE) such that there is a threshold above which the employee prefers to apply for the MBA program, and conditional on no degree the manager does not promote the employee. 4. Following part 3., still assuming the fee c, discuss whether the firm should make it a policy for the employees to get the executive MBA degree to get promoted? What does this tell us about compulsory disclosure? 5. Discuss intuitively how your results to parts 3 . and 4. would change if c included the employee's costs of effort to get the MBA degree, such that a more able employee faces a lower cost.
Answers
Software engineer seeks promotion, complex problem. Expert guidance or economic literature recommended for comprehensive solution.
The given problem involves analyzing different scenarios related to a software engineer seeking a promotion in a tech firm. It covers the outcomes and implications of various options available to the employee, including taking a sabbatical for an Executive MBA degree and disclosing GPA to the manager.
To provide a complete solution and analysis for all the parts, it would require a detailed explanation and mathematical modeling. Given the complexity and length of the problem, it is not feasible to provide a complete solution within the constraints of this text-based interface.
It would be best to consult relevant economic literature or seek expert guidance to fully address and solve the problem.
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Use the Desmos graphing calculator to find the least-squares linear correlation coefficient for the dataset in the table:
x y
3 1
4 5
8 11
10 21
1. r=0.74 б
2. r=0.938
3. r=0.968
4. r=0.811
Answers
The least-squares linear correlation coefficient for the given dataset can be determined using the Desmos graphing calculator. The options provided are: r=0.74, r=0.938, r=0.968, and r=0.811.
To find the least-squares linear correlation coefficient, we need to calculate the Pearson correlation coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. In this case, the dataset consists of pairs of values (x, y).
Using the Desmos graphing calculator, we can input the dataset and generate a scatter plot. Then, by selecting the option to display the line of best fit or the regression line, we can obtain the equation of the line and the value of r, the least-squares linear correlation coefficient.
Based on the options provided, we need to calculate the value of r using the Desmos graphing calculator and compare it to the given options. After performing the calculations, the correct answer is the option that matches the calculated value of r.
Therefore, the option that corresponds to the least-squares linear correlation coefficient calculated using the Desmos graphing calculator for the given dataset should be selected as the answer.
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Which of the following would NOT cast doubt of the usefulness of sample? data? Choose the correct answer below.
a. Order of questions in a survey
b. Missing data
c. Nonresponse
d. An effective sampling method
Answers
An effective sampling method is not cast doubt on the usefulness of the sample
The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.
Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.
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NEED HELP WITH THIS ASAP
Answers
Answer:
D
Step-by-step explanation:
f(x) = x^3 + 2x^2 + 4 for x<0
2^x - 4 for x >0
Use your knowledge of the customary system to circle each equation that is true. A. 8ft=3yd B. 2mi=10,460ft C. 9ft=98in D. 5mi=8,800yd
Answers
Use your knowledge of the customary system to circle each equation that is true
B. 2mi = 10,460ft
D. 5mi = 8,800yd
Let's evaluate each equation:
A. 8ft = 3yd
To convert feet to yards, we know that 1 yard is equal to 3 feet. So, if we divide 8ft by 3, we get 2.67 yards, which is not equal to 3 yards. Therefore, equation A is not true.
B. 2mi = 10,460ft
To convert miles to feet, we know that 1 mile is equal to 5,280 feet. Multiplying 2 miles by 5,280 gives us 10,560 feet, which is equal to 10,460 feet. Therefore, equation B is true.
C. 9ft = 98in
To convert feet to inches, we know that 1 foot is equal to 12 inches. Multiplying 9 feet by 12 gives us 108 inches, which is not equal to 98 inches. Therefore, equation C is not true.
D. 5mi = 8,800yd
To convert miles to yards, we know that 1 mile is equal to 1,760 yards. Multiplying 5 miles by 1,760 gives us 8,800 yards, which is equal to 8,800 yards. Therefore, equation D is true.
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Write tan 41π/36 in terms of the tangent of a positive acute angle.
Answers
tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.
First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):
41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π
Now, we can rewrite the angle as:
tan(41π/36) = tan((10/9)π + (1/36)π)
Next, we'll use the tangent addition formula, which states that:
tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))
In this case, A = (10/9)π and B = (1/36)π.
tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))
Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.
For (10/9)π, we can subtract π to get an equivalent angle within the range:
(10/9)π - π = (1/9)π
Similarly, for (1/36)π, we can add π to get an equivalent angle:
(1/36)π + π = (37/36)π
Now, we can rewrite the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.
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a surveyor determines that the angle of elevation to the top of a building from a point on the ground is . he then moves back 51.3 feet and determines that the angle of elevation is . what is the height of the building?
Answers
The height of the building is approximately 62.4369 feet. The solution involves using trigonometry and solving for the opposite side of the triangle using the tangent function.
Let h be the height of the building, and x be the distance between the first point and the base of the building. Then we have:
tan(26.8°) = h/x ----(1)
tan(19.5°) = h/(x + 43.9) ----(2)
From equation (1), we have x = h/tan(26.8°)
Substituting this value of x in equation (2) and solving for h, we get:
h = (43.9 tan(19.5°) tan(26.8°))/(tan(26.8°) - tan(19.5°))
Plugging in the values, we get:
h ≈ 62.4369 feet
Therefore, the height of the building is approximately 62.4369 feet.
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What is the product of −2 2/5 and −3 5/6?
A. -9 1/5
B. -6 7/30
C. 6 1/3
D. 9 1/5
Answers
Answer:
i think its D but not really sure
Step-by-step explanation:
Find an equation of the sphere with points \( P \) such that the distance from \( P \) to \( A(-2,5,2) \) is twice the distance from \( P \) to \( B(6,3,-3) \). Find its center and radius. \[ \text {
Answers
The equation of the sphere is (x + 4)² + (y - 1)² + (z - 1)² = 64/3. The center of the sphere is (-4, 1, 1) and the radius is √(64/3) = 4√(3/3) = 4.
Let's denote the center of the sphere as C(x, y, z) and the radius as r. We need to find the values of x, y, z, and r that satisfy the given condition.
The distance between a point P(x, y, z) and another point Q(x₁, y₁, z₁) can be calculated using the distance formula: d(PQ) = √[(x - x₁)² + (y - y₁)² + (z - z₁)²].
According to the given condition, the distance from P to A is twice the distance from P to B. Mathematically, this can be expressed as:
√[(x + 2)² + (y - 5)² + (z - 2)²] = 2√[(x - 6)² + (y - 3)² + (z + 3)²].
To simplify the equation, we square both sides:
(x + 2)² + (y - 5)² + (z - 2)² = 4[(x - 6)² + (y - 3)² + (z + 3)²].
Expanding and simplifying the equation yields:
x² + 4x + 4 + y² - 10y + 25 + z² - 4z + 4 = 4x² - 48x + 144 + 4y² - 24y + 36 + 4z² + 24z + 36.
Rearranging the terms and combining like terms:
3x² + 14x + 3y² - 34y + 3z² - 28z + 29 = 0.
Comparing this equation with the standard form of the sphere equation, (x - h)² + (y - k)² + (z - l)² = r², we can identify that the center of the sphere is C(-4, 1, 1) and the radius is r = √(29/3) = 4√(3/3) = 4.
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The complete question is
What is the equation of the sphere with points P, such that the distance from P to point A(-2, 5, 2) is twice the distance from P to point B(6, 3, -3)? Also, determine the center of the sphere in the form (x, y, z) and the radius of the sphere.
compute the determinant by cofactor expansion. at each step, choose a row or column that involves the least amount of computation.
Answers
The determinant of A is 1.
What is matrix?The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them.
The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively.
A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.
We can compute the determinant of the 2x2 matrix A =
| 1 0 |
| 1 1 |
by expanding along the first column since it involves the least amount of computation:
| 1 0 |
| 1 1 |
det(A) = 1 * |1 1| - 0 * |1 1|
= 1
So, the determinant of A is 1.
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Complete question:
Compute the determinant by cofactor expansion. At each? step, choose a row or column that involves the least amount of computation.
6−3+4x+1= no solution one
solution
Answers
Answer:
The answer is 4x+(any number other than 4)
Step-by-step explanation:
If there are no solutions, then the equation will be equal to 4x + (any number other than 4).
Examples: 4x + 1, 4x + 2, 4x + 3
The 4-It wall shown here slands 28 ft from the building. Find the length of the shortest straight bearn that will reach to the side of the building from the ground outside the wall. Bcom 2 Building 1'
Answers
The length of the shortest straight is approximately 28.01 ft.
What is the right triangle?
A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".
To find the length of the shortest straight beam,we can use the Pythagorean theorem.
Let's denote the length of the beam as L and a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.
Using the Pythagorean theorem,
\(L^2 = (28 ft)^2 + (1 ft)^2\)
Simplifying the equation:
\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)
\(L = \sqrt{785}ft\)
Calculating the value of L:
L ≈ 28.01 ft
Therefore, the length of the shortest straight beam is approximately 28.01 ft.
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I NEED HELP FAST PLEASE HELP ME
Answers
Answer:
16, 0, 64
Step-by-step explanation:
Check out the attached photo
the sum of 2 consecutive odd number is 12 how?
Answers
Answer:
5 and 7
Step-by-step explanation:
Let the two numbers be x and x + 2.
According to Question ,
\(\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }\)
Hence the nos . are 5 and 7
If a=-3, b=6, C=-5, what is the vertex?
Answers
Answer:
use the formula a(x-h)2+k
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. (a) Write a differential equation that is satisfied by y. (Use k for the constant of proportionality.)
dy/dt = ____
(b) Solve the differential equation. Assume y(0) = C. y = _____
(c) A small town has 1300 inhabitants. At 8 AM, 100 people have heard a rumor. By noon half the town has heard it. At what time will 90% of the population have heard the rumor? (Do not round k in your calculation. Round the final answer to one decimal place.) ______hours after the beginning
Answers
(a) The differential equation that is satisfied by y is:
\(\frac{dy}{dt} = ky(1-y)\)
(b) To solve the differential equation, we separate the variables and integrate both sides:
\(\frac{dy}{y*(1-y)} = k*dt\)
Integrating both sides, we get:
\(\frac{lnly}{1-y} = k*t +c1\)
where C1 is an arbitrary constant of integration.
We can rewrite the equation in terms of y:
\(\frac{y}{1-y} = e^{(k*t+c1)}\)
Multiplying both sides by (1-y), we get:
\({y} = e^{(k*t+c1)} *(1-y)\)
\(y= \frac{C}{(1+(c-1)e^{-kt} }\)
where C = y(0) is the initial fraction of the population who have heard the rumor.
(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.
Substituting these values into the equation from part (b), we get:
\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)
Solving for k, we get:
\(k= ln(\frac{12.857}{4} )\)
Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:
\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))
Solving for t, we get:
t = 8.7 hours after the beginning (rounded to one decimal place)
A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).
Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.
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Gray LLC is considering investing in a project that will cost $130,000 and will generate $30,000 in cash flows for the next 7 years. Assuming a Discount Rate of 10%, which of the following is true?
All of the above are true
The project’s payback period is 6 years
The project’s IRR is 13.7%
The project’s NPV is $11,275
The project’s profitability index is 0.67
Answers
Among the given options, the true statement is that the project's IRR is 13.7%. The other options are not accurate based on the information provided.
1. The payback period is the length of time it takes for the initial investment to be recovered from the project's cash flows. In this case, the payback period is not explicitly mentioned, so we cannot determine if it is 6 years or not.
2. The IRR (Internal Rate of Return) is the discount rate that makes the net present value (NPV) of the project's cash flows equal to zero. To calculate the IRR, we need to consider the initial investment and the cash flows over the project's lifespan. Given the cash flows of $30,000 for 7 years and a discount rate of 10%, we can calculate the IRR to be approximately 13.7%.
3. The NPV (Net Present Value) is the difference between the present value of cash inflows and the present value of cash outflows. To calculate the NPV, we need to discount the cash flows using the discount rate. Based on the information provided, we cannot determine if the NPV is $11,275 or not.
4. The profitability index is the ratio of the present value of cash inflows to the present value of cash outflows. It indicates the value created per unit of investment. Without the specific discounted cash flow amounts, we cannot determine if the profitability index is 0.67 or not.
Therefore, the only true statement among the given options is that the project's IRR is 13.7%.
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Please help If you know the answer!!
Answers
Answer:
-3 +8a
Step-by-step explanation:
(3-8a) *(-1)
Distribute
3*-1 -8a*-1
-3 +8a
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answers
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
Claire received 3/8 of her allowance on Monday. What decimal shows the part of her allowance that she received?
0.375
0.75
0.83
2.6
Answers
Answer:
0.375
Step-by-step explanation:
3/8 = 0.375
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400, to the nearest percent, what percent of his monthly income will be budgeted for utilities?.
Answers
The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
According to the question,
We have the following information:
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.
Now, let's take the percent to be x.
We have the following expression:
2400*x/100 = 125
24x = 125
x = 125/24
x = 5.21%
Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
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Think About the Process A jar contains only pennies, nickels, dimes, and quarters. There are 15 pennies, 18 dimes, and 21 quarters. The rest of the coins are nickels. There are 83 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
Answers
Answer:
Comencemos por encontrar el número total de monedas en el frasco. Sabemos que hay 15 centavos, 18 monedas de diez centavos y 21 cuartos, así que:
Número total de monedas = número de centavos + número de monedas de diez centavos + número de cuartos
Número total de monedas = 15 + 18 + 21
Número total de monedas =
También sabemos que hay 83 monedas en total, por lo que el número de monedas de cinco centavos se puede encontrar restando el número de centavos, monedas de diez centavos y cuartos del total:
Número de monedas = número total de monedas - número de centavos - número de monedas de diez centavos - número de cuartos
Número de níquel = 83 - 15 - 18 - 21
Número de níqueles = 29
Por lo tanto, hay 29 monedas de cinco centavos en el frasco.
Para encontrar el número de monedas que no son níqueles, podemos restar el número de monedas del total:
Número de monedas sin níquel = número total de monedas - número de monedas
Número de monedas sin níquel = 83 - 29
Número de monedas sin níquel = 54
Así que hay 54 monedas en el frasco que no son monedas de cinco centavos.
Podemos usar la ecuación "n = número total de monedas - número de centavos - número de monedas de diez centavos - número de cuartos" para encontrar el número de monedas de cinco centavos en el frasco, donde n representa el número de monedas de cinco centavos. Sustituyendo los valores dados, obtenemos:
n = 83 - 15 - 18 - 21
n = 29
Por lo tanto, la ecuación es n = 29.
Step-by-step explanation:
espero te ayude en algo
1/8 divided by 5 = ??
Answers
Answer:
\(\frac{1}{40}\)
Step-by-step explanation:
Answer:
1/40
Step-by-step explanation:
\(\frac{1}{8}\) ÷ \(\frac{5}{1}\)
\(\frac{1 x 1 }{8 x 5}\) = 1/40
fractorise completely a) 9x^2 - 6x b) 2x^2 - 5x -3 c) 2x - 4xy d) 9w^2 - 100
Answers
b) ( 2x+1)(x-3)
c) 2x(1-2y)
d) (3w-10)(3w+10)