The temperature dropped 12 F in 8 hours if the final temperature was -7 F what was the starting temperature?

5 F

Step-by-step explanation:

If the temperature dropped by 12 F, then we add on 12 on -7, 12 - 7 = 5 is the starting temperature

to recheck and be sure, 5 - 12 (dropped temperature) = -7 F

The temperature dropped which means the starting temperature was higher than the final temperature.

To find the starting temperature add the amount it dropped to the final temperature:

-7 + 12 = 5

The starting temperature was 5 degrees

where are the images of the functions i can only see the question you typed.

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240