Answer:
-\frac{7}{6}
Step-by-step explanation:
We can use the slope formula for the segment that joins any two points
and
:
![slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
which in our case gives:
![slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%20%3D%20%5Cfrac%7B-2-5%7D%7B3-%28-3%29%7D%3D%5Cfrac%7B-7%7D%7B6%7D%20%3D-%5Cfrac%7B7%7D%7B6%7D)
Answer:
Step-by-step explanation:
Price of one pound = 1.95
Price of 13.2 pounds = 13.2 x 1.95 = 25.74
Answer:
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Step-by-step explanation:
![3x + 9 = 5x - 15](https://tex.z-dn.net/?f=3x%20%2B%209%20%3D%205x%20-%2015)
![2x = 24](https://tex.z-dn.net/?f=2x%20%3D%2024)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Answer: you
Step-by-step explanation: look it up
Answer:
10 in
Step-by-step explanation:
So we want to consider the surface area of this sphere.
The formula for surface area of a sphere is
.
So we have that the surface area is
.
So I'm going to replace
in
with
.
![100\pi=4\pi r^2](https://tex.z-dn.net/?f=100%5Cpi%3D4%5Cpi%20r%5E2)
Now our main objective here is to solve for
:
Divide both sides by
:
![\frac{100\pi}{4 \pi}=\frac{4\pi r^2}{4 \pi}](https://tex.z-dn.net/?f=%5Cfrac%7B100%5Cpi%7D%7B4%20%5Cpi%7D%3D%5Cfrac%7B4%5Cpi%20r%5E2%7D%7B4%20%5Cpi%7D)
This gets us
by itself:
![25=r^2](https://tex.z-dn.net/?f=25%3Dr%5E2)
What number squared gives you 25? If you don't know, just take the square root of both sides giving you:
![\sqrt{25}=r](https://tex.z-dn.net/?f=%5Csqrt%7B25%7D%3Dr)
Now you can just put
in your calculator. You should get 5.
5 is the radius
The diameter is twice the radius.
So 2(5) is 10, so the diameter is 10 in.