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
I think it is C. Hope it helps you! :)
Answer:
B. The dilation is an enlargement
D. The scale factor is 2
E. The center of the dilation is point O
Step-by-step explanation:
I just took the test
Answer:
3rd table, 2nd table, 1st table
Step-by-step explanation:
So, the table ratios for the first at 5:10 and 6:12. Which can be simplified to 1:2, meaning 1 quart for every 2 pints.
The second table's ratios are 2:16 and 3:24. Which also can be simplified to 1:8, meaning 1 cup for every 8 fluid ounces.
The last table's ratios are 8:56 and 10:70. Which as well could be simplified to 1:7, meaning 1 week for every 7 days.
Hope this helps :)
(pls reach out to me if I screwed this problem up)
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3