Answer:
C.y = 3x + 4
Step-by-step explanation:
We have two points, so we can find the slope
m = (y2-y1)/ (x2-x1)
= (7--2)/ (1--2)
= (7+2)/(1+2)
= 9/3
=3
The slope is 3
We can find the point slope form of the line
y-y1 = m(x-x1)
y-7 = 3(x-1)
Distribute
y-7 =3x-3
Add 7 to each side
y-7+7 = 3x-3+7
y = 3x+4
This is in slope intercept form (y=mx+b)
Step-by-step explanation:
-1,355= -1355/1000
-1,352= -1352/1000
The surface area of a sphere is given by
![S = 4\pi r^2](https://tex.z-dn.net/?f=S%20%3D%204%5Cpi%20r%5E2)
We deduce
![r = \sqrt{\dfrac{S}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cdfrac%7BS%7D%7B4%5Cpi%7D%7D)
So, in your case, the radius is
![r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cdfrac%7B100%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%7B25%7D%3D5)
The volume of a sphere is given by
![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
So, we have
![V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%205%5E3%20%3D%20%5Cdfrac%7B500%7D%7B3%7D%5Cpi)
Answer: p = −15
Step-by-step explanation:
Add 11p to both sides.
−10p+11p=−11p−15+11p
p=−15