A bird was sitting 6 meters from the base of an oak tree and flew 8 meters to reach the top of the tree. How tall is the tree? If necessary, round to the nearest tenth.

5.3 meters.

Step-by-step explanation:

given data:

height the bird sat at on the tree = 6 meters.

height the bird flew to get to the top of the tree = 8meters.

Solution:

length of the tree =

using pythagoras theorem

adjacent = 6 hypotenuse = 8

opposite =?

Let opposite = x

Using the pythagoras theorem

opp² + adj² = hyp²

x² + 6² = 8²

x² + 36 = 64

x² = 64 – 36

x² = 28

x =√28

x = 5.3 meters

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.

step-by-step explanation: