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!
Step-by-step explanation:
89 multiplied by negative 34 gives a negative answer, since positive multiplied by negative is negative hence,
(89) × (-34) = -3026
You would have to do 500x 4 which is 2000
Step-by-step explanation:
Since the powers are equal you can write the expression as a one root
But we cannot get 9 out since the square root of 9 is 3 which is second power (3^2) and the power of the root is 4
Holpe this helps, if you need further explanation you can ask.