Answer:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because I know how to do it
You could do the question the way it is written, but it is far easier to bring the negative power up to the numerator.
y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0
If you are a purist and want to solve the question the way it is written, you could do it this way.
dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
======================
(x^-2)^2
dy/dx = - (-2 x^ - 3) / x^-4
dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Answer: A, C, and D
Step-by-step explanation:
A terminating decimal is a decimal that has an end. In other words, 
is one, but 
is not.
✓ A. 0.032
✗ B. 0.999...
✓ C. 0.525
✓ D. 0.75
