Enter the midpoint of the segment whose endpoints are (6, 5) and (−4, 12).

Step-by-step explanation:

Hey there!

Simply use the formula for midpoint to solve it.

Here, The given points are (6,5) and (-4,12).

Using midpoint formulae,

Put all values.

Simplify them to get answer.

Therefore the midpoint is (1,17/2).

Hope it helps...

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.

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140