Ok, here we go. Pay attention. The formula for the arc length is

. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is

(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of

. Integrating that we have

from -1 to 2.

gives us

. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:

which simplifies to

. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with

. And there you go!
Answer:
D
Step-by-step explanation:
Step-by-step explanation:
(x−1)²−9=0
(x-1)²= 9
x-1 = ±√9
x-1 = ±3
x = 1-3=-2 or x=1+3=4
the solution = {-2,4}
Answer:MARK BRAINLLEST MARK BRAINLLEST
(−5/2, 5/2√3)
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Step-by-step explanation:
3/7. if you make them equivalent fractions it would be 30/70 or 14/70. 30/70 is bigger.