To solve this question all you have to do is input the X and y coordinates and test each point in the question. To see which of those points. Have the left hand side equal to the right hand side after doing all of the operations.

5 0

3 years ago

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What is the center and radius of -10x = -121 - y2 - x2 -22y

OlgaM077 [116]

We need to find the center and the radius of

$-10x\: =\: -121\: -\: y^2\: -\: x^2\: -22y$

The general circle equation is the following

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center and

r is the radius

1. rearrange the equation

$(x^2-10x)+(y^2+22y+121)=0$

2. Add 25 on both sides

$(x^2-10x+25)+(y^2+22y+121)=25$

3. Factor

$(x-5)^2+(y+11)^2=5^2$

Now we have an equation that is very similar to the circle equation, so let's compare them

Center -> (h,k) = (5,-11)

radius -> r = 5

8 0

8 months ago