Can you please help me do this and explain how you did it so I can look at it for references thanks so much (:

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangles,

(Hypotenuse)² = (leg 1)² + (leg 2)²

a). (123.1)² = x² + (48.7)²

x² = 15153.61 - 2371.69

x² = 12781.92

x = 113.06 cm

b). (117)² = (82)² + x²

x² = 13689 - 6724

x = 83.46 mm

C). (117)² = t² + (10.3)²

t² = 13689 - 106.09

t² = 13582.91

t = 116.55 cm

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

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.