Transportation a curve on a highway has a 1000 foot radius with lanes that are 14 feet wide. if the the curve makes a 180 degree turn, how much longer is the outside edge of the far lane than the inside edge of the close lane?

The outside edge is 44 ft longer than the inside edge.

Step-by-step explanation:

The outside edge has a 1000 ft radius. Because the curve makes a 180° turn, the length of the curve is half of the perimeter of a circle.

Perimeter of a circle:

Outside length of the curve is given by:

R=1000 ft

Then,

Inside length of the curve is given by:

r=R-14 ft

The difference between the two lengths is:

The outside edge is 44 ft longer than the inside edge.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is