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3 years ago

A circle with center (-3,5) passes through point (-9,-3). Find the circumference of the circle

Mathematics

1 answer:

Aliun [14]3 years ago

4 0

Answer:20π

Step-by-step explanation:

equation of the circle

(x+3)² + (y-5)² = r²

now, (-9, -3) lies on it

So, (-9+3)² + (-3-5)² =r²

36+ 64 = r² =100

hence, r =10

So, circumference = 2πr = 20π

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Please answerrrr Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1). a line labeled g of x that passes through points 0, negati

Mrrafil [7]

Answer:

a line labeled g of x that passes through points negative 1, negative 2 and 0, 2

Step-by-step explanation:

we have

$f(x)=4x-2$

$g(x)=f(x+1)$

To determine g(x), substitute the variable x by (x+1) in the function f(x)

$f(x+1)=4(x+1)-2$

$f(x+1)=4x+4-2$

$f(x+1)=4x+2$

$g(x)=f(x+1)$

$g(x)=4x+2$

therefore

a line labeled g of x that passes through points negative 1, negative 2 and 0, 2

4 0

3 years ago

Read 2 more answers

What is the operation symbol if the question is like this. 52=8___(4___5)___20

stepan [7]

Answer:

52= 8×(4+5)-20

so I guess it's correct

7 0

3 years ago

Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but

Airida [17]

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

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4 years ago

A maritime flag is shown. What is the area of the shaded part of the flag? Explain

Rom4ik [11]

Answer:

$Area = 72in^2$

Step-by-step explanation:

Your question is incomplete without an attachment (See attachment)

Required

Determine the area of the shaded part

From the attachment;

Assume that the shaded portion is closed to the right;

Calculate the Area:

$Area_1 = Length * Width$

$Area_2 = 8in * (6in + 6in)$

$Area_2 = 8in * 12in$

$Area_1 = 96in^2$

Next;

Calculate the Area of the imaginary triangle (on the right)

$Area_2 = \frac{1}{2} * base * height$

$Area_2 = \frac{1}{2} * (6in + 6in) * 4in$

$Area_2 = \frac{1}{2} * 12in * 4in$

$Area_2 = \frac{1}{2} * 48in^2$

$Area_2 = 24in^2$

Lastly, calculate the Area of the Shaded Part

$Area = Area_1 - Area_2$

$Area = 96in^2 - 24in^2$

$Area = 72in^2$

Hence,

The area of the shaded part is 72in²

3 0

3 years ago

3x + y = 14 y = 5 Solve the system of equations

lorasvet [3.4K]

Answer:

X=3, y=5

Step-by-step explanation:

3x + y = 14 equation 1

y=5 equation 2

3x + 5 = 14. substitute value of y from equation 2 into equation 1

3x=9

x-3

6 0

3 years ago