Answer: X = 24
Step-by-step explanation:
Move all terms to the left:
(3x + 10) - (2x - 9) - 43 = 0
Get rid of all the parenthesis:
3x + 10 - 2x - 9 - 43 = 0
Add all the numbers and all variable:
x-24 = 0
Move all terms containing x to the left and all other terms to the right:
x = 24
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!
b is the correct answer
Step-by-step explanation:
see the step in the picture
Answer:
7
Step-by-step explanation:
you need to use PEMDAS
3 x 3 x 3 = 27 divided by 9 is 3 and 10-3=7
Answer:
32 cups
Step-by-step explanation:
To find the total number of cups, we have to convert the measures that are not in cups to cups and add
1 quart = 4 cups
4 quarts = 4 x4 = 16 cups
1 pint = 2 cups
6 pints = 2 x 6 = 12 pints
total number of cups = 16 + 12 + 4 = 32 cups