Answer:
The horizontal segment of E and vertical segments of M.
Step-by-step explanation:
X^2 + 4x = 0
x^2 + 4x + 4 = 0 + 4
(x + 2)^2 = 4
Answer:
7.36
Step-by-step explanation:
z-score is:
z = (x − μ) / σ
Given that z = -1.63, x = 23, and μ = 35:
-1.63 = (23 − 35) / σ
σ ≈ 7.36
Answer:
Step-by-step explanation:
x = 774.37(0.972)
x = 752.68764
x = 752.69 km
descending order???? OK... 97652
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this:

. When we do that multiplication, we have

. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0.

. We can then factor out a 3 to make the job easier:

. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.