Answer:
20
Step-by-step explanation:
y+4=−12(x−2)
Step 1: Add -4 to both sides.
y+4+−4=−12x+24+−4
y=−12x+20
Seven hundred and thirteen thousand, two hundred and ninety eight
Answer:
is equivalent to ![m^2 \cdot n^{-2}](https://tex.z-dn.net/?f=m%5E2%20%5Ccdot%20n%5E%7B-2%7D)
Step-by-step explanation:
Using exponent rules:
![a^{-n}=\frac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D)
Given the expression:
![\frac{m^2}{n^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%5E2%7D%7Bn%5E2%7D)
⇒![\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%5E2%7D%7Bn%5E2%7D%20%3D%20m%5E2%20%5Ccdot%20%5Cfrac%7B1%7D%7Bn%5E2%7D)
Apply the exponent rule, we have;
![m^2 \cdot n^{-2}](https://tex.z-dn.net/?f=m%5E2%20%5Ccdot%20n%5E%7B-2%7D)
Therefore, the given expression
is equivalent to ![m^2 \cdot n^{-2}](https://tex.z-dn.net/?f=m%5E2%20%5Ccdot%20n%5E%7B-2%7D)
Answer:
p=2 1st is 16 p=8 second is 22 they arent equivalent
Step-by-step explanation:
Answer:
7
cm²
Step-by-step explanation:
First, find the area of the big circle with the formula A =
r²
A =
(3)²
A = 9![\pi](https://tex.z-dn.net/?f=%5Cpi)
Now, we can find the areas of the smaller circles. Since they have the same radius, they are congruent (will have the same area)
A =
r²
A =
(1)²
A = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
Now, we will subtract the areas of the smaller circles from the area of the big circle to find the area of the shaded region:
9
-
-
= 7![\pi](https://tex.z-dn.net/?f=%5Cpi)
So, the area of the shaded region is 7
cm²