<h3>
Answer:</h3>
5 units
<h3>
Step-by-step explanation:</h3>
A point 4 up and 3 over from its original location has moved a distance that can be found using the Pythagorean theorem.
... d² = 4² +3² = 16 +9 = 25
... d = √25 = 5 . . . . units
Step-by-step explanation:
When x = -2, x + 2 = (-2) + 2 = 0.
Answer:
2 students
Step-by-step explanation:
First, you find the number of students eating either salads and sandwiches. Then, you add the number of students eating salads and sandwiches together. Finally, you will subtract that number from the 12 total students
<h3>2/3 * 12/1 = 8 (sandwiches)</h3><h3>1/6 * 12/1 = 2 (salads)</h3><h3>8 + 2 = 10 (combined)</h3><h3>12 - 10 = 2 students</h3><h3 />
Answer:
B.) ![m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
use the slope rule
![\frac{rise}{run} \\\\\\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7Brise%7D%7Brun%7D%20%5C%5C%5C%5C%5C%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Fill in values
![\frac{4-6}{0-(-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B4-6%7D%7B0-%28-4%29%7D)
Simplify
![\frac{-2}{4}\\-\frac{2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B4%7D%5C%5C-%5Cfrac%7B2%7D%7B4%7D)
Simplify further
![m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D)
Done.
The formula to calculate the volume of a cone is:
![V= \frac{1}{3} \pi (radius)^2h](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Cpi%20%28radius%29%5E2h)
So, replace radius = 3in and h = 8 in.
The result is: [1/3] π (3in)^2 (8in) = [1/3]π(9)(8) in^3 = 24 π in^3
Answer: option b. 24 π in^3