Answers
7)Circle with center (0,0) and radius\(6: x^2 + y^2 = 36\). 8)Circle with center (0,0) and radius\($\sqrt{58}:(x)^+(y)^=58\). 9)Circle with center (1,2) and radius \(3: (x-1)^2 + (y-2)^2 = 9\). 10)Circle with center (-7,-2) and radius \($\sqrt{170}: (x+7)^2 + (y+2)^2 = 170$\)
What is the equation of the line?A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
According to the given information:7. Standard equation of the circle: \(x^2 + y^2 = 36\)
Explanation: Since the center is (0, 0), the radius of the circle is the distance from the center to the point on the circle (0, 6), which is 6 units. Therefore, the equation of the circle is\(x^2 + y^2 = r^2 = 36.\)
8.Standard equation of the circle\(: x^2 + y^2 = 58\)
Explanation: Since the center is (0, 0), the radius of the circle is the distance from the center to the point on the circle (3, -7), which is \($\sqrt{3^2 + (-7)^2} = \sqrt{58}$ units.\) Therefore, the equation of the circle is \(x^2 + y^2 = r^2 = 58.\)
9.Standard equation of the circle: \((x-1)^2 + (y-2)^2 = 9\)
Explanation: Since the center is (1, 2), the radius of the circle is the distance from the center to the point on the circle (4, 2), which is 3 units. Therefore, the equation of the circle is \((x-1)^2 + (y-2)^2 = r^2 = 3^2 = 9\).
10.Standard equation of the circle: (\(x+7)^2 + (y+2)^2 = 170\)
Explanation: Since the center is (-7, -2), the radius of the circle is the distance from the center to the point on the circle (1, -8), which is \($\sqrt{8^2+6^2} = \sqrt{100} = 10$ units. Therefore, the equation of the circle is $(x+7)^2 + (y+2)^2 = r^2 = 10^2 = 100$.\)
7)Circle with center (0,0) and radius\(6: x^2 + y^2 = 36\). 8)Circle with center (0,0) and radius\($\sqrt{58}:(x)^+(y)^=58\). 9)Circle with center (1,2) and radius \(3: (x-1)^2 + (y-2)^2 = 9\). 10)Circle with center (-7,-2) and radius \($\sqrt{170}: (x+7)^2 + (y+2)^2 = 170$\)
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Related Questions
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
Answers
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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(x+1)(x+2)=
X=4
What has greatest value?
Answers
The expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.
What is an aIgebraic expressiοn?An aIgebraic expressiοn is a mathematicaI phrase that cοntains variabIes, cοnstants, and mathematicaI οperatiοns. It may aIsο incIude expοnents and/οr rοοts. AIgebraic expressiοns are used tο represent quantities and reIatiοnships between quantities in mathematicaI situatiοns, οften in the cοntext οf prοbIem-sοIving.
Tο evaIuate the expressiοn (x+1)(x+2) when x=4, we simpIy substitute 4 intο the expressiοn, which gives us (4+1)(4+2).
SοIving this expressiοn, we first perfοrm the additiοns inside the parentheses tο get (5)(6).
Then, we muItipIy the twο numbers tο get 30.
when x=4, the expressiοn (x+1)(x+2) evaIuates tο 30, which is its greatest vaIue. This is because the quadratic expressiοn x² + 3x + 2 increases as x increases, and it reaches its maximum vaIue when x=4.
Therefοre, the expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.
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Video game: $64.50, 8% markup
Answers
After we apply the markup, the price of the videogame is $69.66
What is the price of the game after the markup is taken in account?If the cost for the store is C and a markup of X (in percentage) the new price of the item is given by the formula:
P = C*(1 + X/100%)
In this case we have a videogame and the cost for the store is $64.50, and there is 8% of markup, then the new price of the videogame is:
P' = $64.50*(1 + 8%/100%)
P' = $64.50*(1 + 0.08)
P' = $64.50*(1.08) = $69.66
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what is 37.13 + 21.03 =
Answers
Answer:
58.16
Step-by-step explanation:
is the answer
easy question
marcos reads 3 1/2 books in 1 3/4 weeks at this rate how many books does marcos read in 1 week
Answers
Answer: 2 books.
Step-by-step explanation:
The rate of doing a given activity in a given amount of time can be calculated as:
Rate = (how much you do)/(time that it takes)
In this case, we know that:
Marcos reads (3 + 1/2) books in (1 + 3/4) weeks.
then the rate is calculated as:
R = (3 + 1/2) books/(1 + 3/4) weeks
= (3 + 1/2)/(1 + 3/4) books per week.
= (6/2 + 1/2)/(4/4 + 3/4) books per week
= (7/2)/(7/4) books per week
= 4/2 books per week
= 2 books per week
This means that marcos can read 2 books in one week.
The number of books that will be read in a week will be 2 books.
From the information given, it was stated that Marcos reads 3 1/2 books in 1 3/4 weeks.
Therefore, the number of books that will be read weekly at this rate will be:
= 3.5 / 1.75
= 2
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Can u please help me with 3&4 I’m giving 20 point please help me
Answers
Answer:
Step-by-step explanation:
NO LINKS!! Please help me with this statement Part 2mm
Answers
Answer:
y = 2x² + 8x - 5--------------------------------------
Vertex form of a quadratic function:
y = a(x - h)² + k, where (h, k) is vertex and a - constantGiven (h, k) = (-2, -13) and a point (0, - 5).
Substitute all into equation and solve for a:
-5 = a(0 - (-2))² - 13-5 = 4a - 134a = 13 - 54a = 8a = 2The parabola is:
y = 2(x + 2)² - 13Convert it to the standard form:
y = 2(x + 2)² - 13y = 2(x² + 4x + 4) - 13y = 2x² + 8x + 8 - 13y = 2x² + 8x - 5Answer:
\(f(x)=2x^2+8x-5\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)
Given:
Vertex = (-2, -13)Point = (0, -5)Substitute the given vertex and point into the Vertex formula and solve for a:
\(\implies -5=a(0-(-2))^2+(-13)\)
\(\implies -5=a(0+2)^2-13\)
\(\implies -5=4a-13\)
\(\implies 4a=8\)
\(\implies a=2\)
Substitute the given vertex and found value of a into the Vertex formula:
\(y=2(x+2)^2-13\)
The standard form of a quadratic function is f(x) = ax² + bx + c
Expand the function in vertex form to standard form:
\(\implies y=2(x^2+4x+4)-13\)
\(\implies y=2x^2+8x+8-13\)
\(\implies y=2x^2+8x-5\)
Use the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.e6-8ln(x)+In(y)
Answers
Given:
The expression is,
\(e^{6-8\ln (x)+\ln (y)}\)Explanation:
Simplify the expression by using logathimic properties.
\(\begin{gathered} e^{6-8\ln (x)+\ln (y)_{}}=e^{6-\ln (x^8)+\ln (y)} \\ =e^6\cdot e^{-\ln (x^8)}\cdot e^{\ln (y)} \end{gathered}\)Simplify further.
\(\begin{gathered} e^6\cdot e^{-\ln (x^8)}\cdot e^{\ln (y)}=e^6\cdot\frac{1}{e^{\ln(x^8)}}\cdot e^{\ln (y)} \\ =e^6\cdot\frac{1}{x^8}\cdot y \\ =\frac{e^6y}{x^8} \end{gathered}\)So answer is,
\(\frac{e^6y}{x^8}\)PLEASE HELP AND SHOW THE WORK
Answers
An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.
An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)
Where:
m represent the slope.x and y represent the points.At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)
y + 3 = 2(x + 1)
y = 2x + 2 - 3
y = 2x - 1
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
2 × m₂ = -1
m₂ = -1/2.
At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x + 4)
y = -x/2 - 2 + 5
y = -x/2 + 3
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30% of 210 is what number?
Answers
multiply 30% by 210
210 x 0.30 = 63
answer: 63
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answers
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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how do I understand implicit function
Answers
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
PLEASE HELP ME!!!!!!
Answers
Answer:
Step-by-step explanation:
Gallons, 1, 2
Quarts, 4, 8
Pints, 8, 16
Cups, 16, 32
Fluid ounces, 128, 256
Dude, it's conversation rates, you could have just looked up gallons to quarts etc.
dixie drinks 2 cupsof water in five minutes while dale drinks 10 cups of water in 12 minutes. who drinks the greater number of cups per minute
Answers
Answer: dale
Step-by-step explanation:
2÷5=0.4(Cups/minute).........dixie
10÷12=0.833∞(Cups/minute)..........dale
0.8333>0.4
Pls help me I can’t figure it out T^T incase the picture doesn’t work it says 14. write a real-world problem thats can be represented by the equation 3/4c=21?
Answers
Answer:
________________
How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?
________________
ж
1)A rectagular prism has the
following dimensions:
LENGTH= 8.3ft
WIDTH= 7.5ft
HEIGHT= 1.4ft
Answers
Answer:
87.15m^3
Step-by-step explanation:
L*B*H
8.3ft *7.5ft* 1.4ft
87.15m^3
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? SHOW YOUR WORK. Will Mark Brainliest. ( Do Not Repaste Another Students Answer From Brainly Or You'll Be Reported. Also Only Answer If Your 100% Sure). Thank You.
Answers
Answer:
Step-by-step explanation:
In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,
number of wax = volume of mold / volume of wax
The formulas are,
number of wax = (1/3)Ah / s³
Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,
number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21
Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)
Answer:
5
Step-by-step explanation:
Pyramid mold
volume of a square based pyramid = \(\dfrac13a^2h\)
(where a is the side of the base and h is the height)
Given a = 9 and h = 10:
volume = \(\dfrac13\times9^2\times10\) = 270 cm³
Wax Cube
volume of a cube = a³
(where a is the length of one edge)
Given a = 4
volume = 4³ = 4 x 4 x 4 = 64 cm³
Divide the volume of the pyramid by the volume of 1 wax cube:
270 ÷ 64 = 4.21875
We need to round this number up to 5 as if we rounded down to 4, we wouldn't have quite enough to fill the pyramid.
Therefore, Devin will need 5 wax cubes in order to make the candle.
Write y = 5(x - 8)^2 + 4 in standard form
Answers
Answer:
\(y=5x^2-80x+324\)
Step-by-step explanation:
The bike at the store was selling for $320. Since the bike was in high demand, the owner decided to increase the price by 18%. What is the new cost of the bike?
Answers
Answer:
New cost of the bike after the price increase is $377.60.
Step-by-step explanation:
To determine the new cost of the bike after the price increase, we need to first calculate the amount of the price increase. To do this, we can multiply the original price of the bike by the percentage increase: $320 * 18% = $57.60.
Next, we can add the amount of the price increase to the original price of the bike to find the new price: $320 + $57.60 = $377.60.
Therefore, the new cost of the bike after the price increase is $377.60.
Marcella states that the product of 11.759.69 and 24.205 is approximately 290,000. Which
method should be used to check her answer
A. round the numbers to 11,000 and 20, then multiply
B. round the numbers to 12,000 and 20, then multiply
C. round the numbers to 11,000 and 24, then multiply
D. round the numbers to 12,000 and 24, then multiply
Answers
Answer: D.
Step-by-step explanation:
round the numbers to 12,000 and 24, then multiply
Maria has 8 more scarves than Lucy Lucy has 8 scarves. How many scarves does Maria have, write an equation?
Answers
The equation M = 8 + 8 represents the given information. Maria has 16 scarves.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's let "M" represent the number of scarves that Maria has.
According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.
We can represent this information in an equation:
M = 8 + 8
We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.
So, Maria has 16 scarves.
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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,
M = 8 + L
where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:
M = 8 + 8
M = 16
Therefore, Maria has 16 scarves.
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-x+3y=11 pls sove by elimation and step by step
Answers
Answer:
Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.
Step-by-step explanation:
The given equation is:
-x + 3y = 11
To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.
Let's suppose we have another equation with x, for example:
2x + 5y = 7
We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:
-2x + 6y = 22 (multiply the first equation by -2)
2x + 5y = 7 (the second equation)
Now we can add the two equations to eliminate x:
-2x + 2x + 6y + 5y = 22 + 7
Simplifying the equation, we get:
11y = 29
Dividing both sides by 11, we get:
y = 29/11
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
-x + 3y = 11
Substituting y = 29/11, we get:
-x + 3(29/11) = 11
Simplifying the equation, we get:
-x + 87/11 = 11
Subtracting 87/11 from both sides, we get:
-x = 11 - 87/11
Multiplying both sides by -1, we get:
x = 87/11 - 11
Simplifying the equation, we get:
x = (87 - 121)/11
x = -34/11
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Answers
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : \($750 \times 1.14=6855$\)
Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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NO LINKS!! Please assist me with this problem Part 2m
Answers
Answer:
\(\textsf{(a)} \quad \boxed{9a-3}\)
\(\textsf{(b)} \quad \boxed{-9a-3}\)
\(\textsf{(c)} \quad \boxed{-9a+3}\)
Step-by-step explanation:
Given function:
\(f(x) = 9x - 3\)
Part (a)
To find f(a), substitute x = a into the function:
\(\implies f(a)=9a-3\)
Part (b)
To find f(-a), substitute x = -a into the function:
\(\implies f(-a)=-9a-3\)
Part (c)
To find -f(a), first substitute x = a into the function:
\(\implies f(a)=9a-3\)
Then make the function negative:
\(\begin{aligned}\implies -f(a)&=-(9a-3)\\&=-9a+3 \end{aligned}\)
Which of the following statements are true?
If any row of a square matrix is zero, its determinant is zero.
If all numbers in a matrix are equal, its determinant is zero.
The determinant of any identity matrix is zero.
The determinant of a matrix with all positive numbers is always positive.
The determinant of any zero matrix is zero
Answers
The 3 statements given below are true.
Any row of a square matrix is zero, its determinant is zero.
All numbers in a matrix are equal, its determinant is zero.
The determinant of any zero matrix is zero.
What is matrix?
It is an arrangement of elements, especially numbers, in a particular way. A matrix is a mathematical structure having rows and columns. The element aij of a matrix, say M refers to the element in the i-th row and j-th column.
If any row of a square matrix is zero, its determinant is zero, because the entire line makes the determinant zero.
If all numbers in a matrix are equal, its determinant is zero, because calculation makes zero in each term.
The determinant of any zero matrix is zero, because calculation of zero gives zero as a result.
Hence,
Any row of a square matrix is zero, its determinant is zero.
All numbers in a matrix are equal, its determinant is zero.
The determinant of any zero matrix is zero.
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Answer: 1,2,5
Step-by-step explanation:
How do you look for a correlation using data points?
Answers
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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The value of y varies jointly with the value of x and z. When x=4 and z=9, the value of y is 360. What is the value of y when x=5 and z=12
Answers
................................................answer is -x error because you CANT DO THAT
I WILL GIVE BRAINLIST TO THE RIGHT ANSWER!!!!! Please help me! I would give more points but this is all I have:(
Answers
its a trust me on this one ok
3x^3-2x^2+7x+9 divided by x^2-3x
Answers
The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find 3x³-2x²+7x+9 divided by x²-3x
3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.
The steps to solve this are given below.
Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend (if present).
Step 5: Repeat the same process.
Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
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what does y intercept mean ?
Answers
Answer: The vertical line on a graph representing the vertical coordinate points.
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.
Step-by-step explanation: