Write and equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 Y=?

y=-2x+24

Step-by-step explanation:

The slope is -2 because the slope of a perpendicular line is the opposite fraction(flip numerator and denominator) and the opposite sign (negative/positive).

Use y=mx+b to find out the y intercept.

10=-2(7)+b

10=-14+b

24=b

Your equation would be

y=-2x+24

hooe this helps :)

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.