We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
Answer:
o%+38-65
=47×28\N¹
Step-by-step explanation:
i hope its help
Answer:
-2 : 1/49, 0 : 1, 2 : 49
Step-by-step explanation:
Answer:
Step-by-step explanation:
- Apply the distributed property, so it now looks like this: -3n + -18 + 10 = -9
- Combine like terms: -3n + -8 = -9
- Simplify: -3n - 8 = -9
- Add 8 to each side, so it now looks like this: -3n = -1
- Divide each side by -3 to cancel out the -3 next to n. It should now look like this: n = 1/3
I hope this helps!
Answer:
48
Step-by-step explanation:
not sure
