Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. check your answer by noting that the curve is a line segment and calculating its length by the distance formula.

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

Now, using the distance formula we have:

So we have two points (-1, -9) and (3, 7) so:

Notice both equations gave the same length .

for the points! : )

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk