Answer:
![(x + 3)^2 + (y - 5)^2 = 5^2](https://tex.z-dn.net/?f=%28x%20%2B%203%29%5E2%20%2B%20%28y%20-%205%29%5E2%20%3D%205%5E2)
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,5).
Point on the circle is (x,y) = (1,8)
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(1 - (-3))^2 + (8 - (5))^2 = r^2
(4)^2 + (3)^2 = r^2
16 + 9 = r^2
r^2 = 25
r = 5
Answer:
Step-by-step explanation:
4x-12
Answer: 90
Step-by-step explanation: You equation is 4(3*7) + 2(1*3). To solve this, you first solve what is on the inside of the parenthesis. so 3 times 7 is 21. And 1 times 3 is 3. So now your equation looks like this 4(21) + 2(3). 4 times 21 is 84 and 2 times 3 is 6. So now your equation is 84 + 6 which equals 90.
Using Pythagoras:-
x^2 = 6^2 + (sqrt18)^2
= 36 + 18 = 54
x = sqrt54 = 3 sqrt6