Terry is skiing down a steep hill. terry's elevation, e(t), in feet after t seconds is given by e(t)=2600−50t.

Part 1) The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) The elevation is decreasing by 50 feet each second

Step-by-step explanation:

we have

where

E(t) is Terry's elevation in feet

t is the time in seconds

Part 1) Find the E intercept of the equation

The E-intercept is the value of E when the value of t is equal to zero

so

For t=0

substitute

therefore

The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) Find the slope of the equation

we have

This is the equation of the line into slope intercept form

The slope m is equal to

The slope is negative, because is decreasing

therefore

The elevation is decreasing by 50 feet each second

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

5104.38 inches

step-by-step explanation: