(w-10x) (w+10x) Use the Identities to solve this question
We are provided that –
(w-10x) (w+10x)Applying identity –
a² - b² = (a + b)(a - b)\(\qquad\) \(\twoheadrightarrow\bf(w-10x) (w+10x)\)
\(\qquad\) \(\twoheadrightarrow\bf w^2 - (10x)^2\)
\(\qquad\) \(\twoheadrightarrow\bf w^2 -100 x^2\)
Select the correct answer.
If no denominator equals zero, which expression is equivalent to ?
A.
B.
C.
D.
The result of the addition of fractions is given by:
D. \(-\frac{19}{x - 5}\)
What is the simplified expression?The original expression is given by:
\(\frac{x^2 + 10x + 25}{x + 5} - \frac{x^2 - 6}{x - 5}\)
We consider the square of the sum notable product, given as follows:
(a + b)² = a² + 2ab + b².
Hence the following simplification can be applied:
x² + 10x + 25 = (x + 5)².(x² + 10x + 25)/x + 5 = (x + 5)²/(x + 5) = x + 5.Thus, we can simplify the expression as follows:
\(\frac{x^2 + 10x + 25}{x + 5} - \frac{x^2 - 6}{x - 5} = x + 5 - \frac{x^2 - 6}{x - 5}\)
Then, applying the least common factor of the denominator for the sum of the fractions, we have that:
\(x + 5 - \frac{x^2 - 6}{x - 5} = \frac{(x + 5)(x - 5) - x^2 + 6}{x - 5} = \frac{x^2 - 25 - x^2 + 6}{x - 5} = -\frac{19}{x - 5}\)
Hence the equivalent expression is:
D. \(-\frac{19}{x - 5}\)
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1. use the quadratic equation to find the exact solutions to this equation, and simplify your answer: 2x^2 6x 12
As per the given statement, the quadratic equation is to be used to find the exact solutions to this equation, and the quadratic equation is given by \(ax² + bx + c = 0\).
To solve the quadratic equation, we can use the quadratic formula given by\(x = (-b ± sqrt(b² - 4ac)) / 2a\) Where x is the variable, a, b, and c are coefficients with a ≠ 0, and sqrt is the square root symbol.To find the exact solutions to this equation, we can use the quadratic formula with a = 2, b = 6, and c = 12.
Substituting these values in the quadratic formula, we get
\(x = (-6 ± sqrt(6² - 4 × 2 × 12)) / 2 × 2= (-6 ± sqrt(36 - 96)) / 4= (-6 ± sqrt(-60)) / 4= (-6 ± i√60) / 4= (-3 ± i√15) / 2\)
Hence, the exact solutions to the given equation are \((-3 + i√15) / 2 and (-3 - i√15) / 2.\)
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-2(-3.4)what is the answer
6.8
1) Let's calculate this product by distributing the factor -2 multiplying the number within the parentheses.
-2(-3.4) Equal signs yield positive and remove the parentheses
6.8
2) So 6.8 is the answer for that product.
Simplify. 3/7 . 21/21
Value of the expression 3/7 . 21/21 after simplify is equal to 3/7.
As given in the question:
Given expression :
3/7 . 21/21
Simplify the given expression 3/7 . 21/21
3/7 . 21/21
= {(3 /7 ) ×21 } /21
= ( 3 ×21 ) / (7 × 21)
21 is the common number between numerator and denominator
= 3/7 .1
= 3/7
Therefore, value of the expression 3/7 . 21/21 after simplify is equal to 3/7.
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hurry im on a test pleaseeee
The equation's value of x is -50. To solve for x, we added 2 to both sides of -2/5x - 2 = 18. Then, we divided both sides by -2/5 or multiplied by -5/2 to get -2/5x = 20.
Answer: its -50
Step-by-step explanation: the negatives cancel out. 50 divided by 5 is 10, so 1/5 of 50 is 10 and 2/5 of 50 is 20. then subtract 2.
Which expression is equivalent to m + 3m + 3(m - 1)
Answer:
7m-3
Step-by-step explanation:
first, distribute
m+3m+3m-3
then, combine all like terms
m+6m-3
7m-3
i hope this helps! have a nice day!
what are the points on this website even for?
Answer:
To ask questions you need points.
Step-by-step explanation:
Answer:
They help you ask questions as it costs points to ask questions, and the more points you use on a question, the more points someone gets for answering it, meaning they are more likely to answer your question.
They also are used as a form of ranking users, based on how much time they spend on the site helping people and such.
Find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 8.
To solve this question, we need to find the formula for the nth term of the geometric sequence. The formula is:
\(a_n=a_1r^{n-1}\)Where:
a_n is the nth term of the sequence
a_1 is the first term of the sequence
r is the common ratio
In this case:
a_1 8
r = 2/3
\(a_6=8\cdot(\frac{2}{3})^{6-1}=8\cdot(\frac{2}{3})^5=8\cdot\frac{32}{243}=\frac{256}{243}\)The answer is:
256/243
Suppose y varies directly with x, and y = 104 when x = 8. What is the value of y when x = 18?
Answer:
Okay, let's break this down step-by-step:
y varies directly with x, meaning y is proportional to x.
This can be expressed as y = kx for some constant k.
We are given: When x = 8, y = 104.
Substituting the given values: 104 = k(8)
Solving for k: k = 104/8 = 13
Now we want to find y when x = 18. We use the proportional relationship:
y = kx
= 13(18)
= 234
Therefore, when x = 18, y = 234.
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST DO NUMBER 8
Answer:
Step-by-step explanation:
Answer:
the equation of yours is wrong. the equation would be y=1/3x.
Step-by-step explanation:
here's the graph. hope it helps.
Determine the equation for the given line in
slope-intercept form.
Oy=-5/3x-1
Oy= 5/3x+1
Oy= 3/5x+1
Oy=-3/5x+1
Answer:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
From the graph using points ( 5 , - 4) and
( -5 , 2)
Slope = 2+4/ -5 - 5= 6/-10 = - 3/5
Equation of the line using point (5,-4) is
y + 4 = -3/5(x - 5)
y = -3/5x + 3 - 4
y = -3/5x - 1
Hope this helps
what is the sign of -456+456
Answer:
Well, the answer is 0.
Step-by-step explanation:
Answer: 0
Step-by-step explanation: the answer will be zero because since -456 and 456 are both the opposite the answer will be zero I hope this helps :)
Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places
Use the table in the book to find the P-value rounded to at least 4 decimal places.
It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.
The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.
In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.
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The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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find the value of x
(x−9/3)=2
Answer:
(x−9/3)=2 x = 5
Answer:
x = 5
Step-by-step explanation:
I hope this helps you! :D
Needdddd Helppppppp !!
The answer will be option a .collinear
Calculate (3.7 x 10¹⁴) + (9 × 10¹²) Give your answer in standard index form.
Answer:3.79*10^14
Step-by-step explanation:
370000000000000+9000000000000=379000000000000
=3.79 x 10^14
Answer:
(3.79×10^14)
Step-by-step explanation:
sjskakakzks
The circumference of a circular platter is 50 inches. If the radius is doubled, what is the circumference of the new platter?
pls help im so bad at geometry alaksjdlak
Answer:
100 inches
Step-by-step explanation:
Answer:
100 inches
Step-by-step explanation:
if the radius is double then you double the circumference
1. IfAB= 12 and BC = 7, then find the length of AC.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
first, simplify the equation:
\($t=\sqrt[2]{\frac{h}{16}}$\\$$\rightarrow t^2=\frac{h}{16}$$\\\)
Substitute 0.6 for t:
\($$0.6^2=\frac{h}{16}$\\\rightarrow 0.36=\frac{h}{16}\\\rightarrow h=0.36\cdot16\\\rightarrow h=5.76\\\boxed{5.76}\)
three teammates had diffrent points totals at the girls basketball game. to determine the number of points effie had, multiply tonis points by 3, subtract8. and then multiply the diffrence by 2. to determine the number of points linda had, add 9 to toins points, and divide the sum by 3. how many points did each girl have if effie scored 9 more than toni and linda combined?
Toni had 17 points, Effie had 25 points and Linda had 18 points.
The question is asking to find the number of points each girl had in a girl's basketball game. To find out how many points Effie had, you must multiply Toni's points by 3, subtract 8, and then multiply the difference by 2. To find out how many points Linda had, you must add 9 to Toni's points and divide the sum by 3. The given information is that Effie scored 9 more than Toni and Linda combined.
Formula and Calculation:
Toni's Points = x
Effie's Points = 3x-8
Linda's Points = (x+9)/3
Effie scored 9 more than Toni and Linda combined, so:
3x-8 = x+9/3 + 9
2x-8 = x+9
x = 17
Therefore, Toni had 17 points, Effie had 25 points and Linda had 18 points.
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Can someone help me?
answer
a 17× + 5× + 16 + 7
b 22× + 23
Step-by-step explanation:
the perimeter of a shape is calculated by adding up all the the sides.
part a asks you to use all four lengths so just place them side by side with the addition sign.
in part b you are asked to simplify it so you have to add the like terms. 17× and 15x add up to 22 and 16 and 7 add up to 23.this is the simplest we can go since 22x and 23 are not like terms.
hope this helps :)
Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFGH is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex G on ordered pair 3, 1 and vertex H on ordered pair 3, 5. A polygon E prime F prime G prime H prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex G prime on ordered 0, 3, and vertex H prime on ordered pair negative 4, 3.
What set of transformations is performed on EFGH to form E'F'G'H'?
A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin
A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
Answer:
90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the right
Step-by-step explanation:
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?
2 < s < 18
6 < s < 12.8
s < 2 or s > 18
s < 6 or s > 12.8
Applying the triangle inequality theorem, the best representation for the third side is: A. 2 < s < 18.
What is the Triangle Inequality Theorem?According to the triangle inequality theorem, the sum of any two sides of a given triangle must be greater than the length of the measure of the third side of the triangle.
Thus, given an acute triangle has sides, 8 cm and 10 cm, applying the triangle inequality theorem, the range of sides would be calculated as shown below:
10 - 8 < s > 8 + 10
2 < s > 18
The range of values for the third side is: A. 2 < s < 18.
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Answer: A. 2 < s < 18.
Step-by-step explanation:
Applying the triangle inequality theorem, the best representation for the third side is: A. 2 < s < 18.
the height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. which is closest to the total surface area of the new box?
The total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).
How to calculate the new total surface area of the box?To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.
Let's assume the original box has dimensions:
Length (L)
Width (W)
Height (H)
The total surface area of the original box is given by:
SA_original = 2(LW + LH + WH)
After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.
The new total surface area of the box can be calculated as follows:
SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))
Simplifying the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
Therefore, the total surface area of the new box is given by the equation:
SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)
To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.
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There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed
5m+2n-7-2m+15 Simplified expression
an organization will give a prize to a local artist. the artist will be randomly chosen from among 7 painters, 4 sculptors, and photographers. what is the probability that the artist chosen will be a painter or a 5 photographer? write your answer as a fraction.
The probability that the artist chosen will be a painter or a photographer is 3/4
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
To solve this exercise the formula and the procedure that we have to use for probability is:
probability= (achieving success / possible outcomes)
Achieving success = 7 painters + 5 photographer = 12
Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16
Applying the formula to calculate the probability we get:
probability= (achieving success / possible outcomes)
probability= 12/16
Simplifying:
probability= 3/4
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Find the area of the shaded region.
Answer:嘿,我不知道答案,但這段文字很酷