Question 5(multiple choice worth 4 points) the legs of a right triangle are 12 centimetres and 16 centimeters. what is the length of the hypotenuse? 15 centimeters 17 centimeters 20 centimeters 28 centimeters

For this type of question, you have to use the Pythagorean Theorem:

In the theorem, a and b are the legs. To find the length of the hypotenuse, you have to square the lengths of the two legs and add it together. Then, find the square root of the sum.

First square both numbers.

Now that you have the numbers, you need to add them.

Now you need to find the square root of 400 to find the length of the htypotenuse.

The length of the hypotenuse is 20 cm, which is the 3rd choice

a. 15 cm x

b. 17 cm x

c. 20 cm ✔

d. 28 cm x

If you have any questions, feel free to ask in the comments! :)

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.