Asegment has endpoints a(-3, 5) and b(2, 1). find the midpoint m of the segment.

 The co-ordinates of the midpoint M of the given line segment is (-0.5, 3).

Step-by-step explanation:  Given that a segment has endpoints A(-3, 5) and B(2, 1).

We are to find the midpoint M of the segment AB.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by

Therefore, the co-ordinates of the midpoint M of the given line segment AB is

Thus, the co-ordinates of the midpoint M of the given line segment is (-0.5, 3).

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

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.