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1. Find the center of the circle whose equation is
\[(x + 10)^2 + (y - 7)^2 = 65.\]

 

2. A circle is centered at  passes through the point  Find the equation of the circle.

Write your equation in the form ""$(x - h)^2 + (y - k)^2 = r^2$

 

3.The equation $x^2 + 6x + y^2 + 6y = 18$ represents a circle. What is its center? Write your answer as an ordered pair.

 

4. Find the $y$-intercept of the graph $x^2 - 10x + y^2 - 10y + 25 = 0$. Write your answer as an ordered pair.

 

5. Find the area of the region satisfying the inequality x^2 + y^2 \leq 4x + 6y+13

 

6. Find the radius of the circle with equation 9x^2-18x+9y^2+36y+44=0.

 

7.Let (x,y) be an ordered pair of real numbers that satisfies the equation x^2+y^2=14x+48y. What is the minimum value of x?

 Feb 16, 2019
 #1
avatar+557 
+1

question 2 has not been written properly. rewrite question.

 

 

thank you.

 

winkwinkwink

 Feb 16, 2019
 #2
avatar+429 
+1

1. (-10,7)

 

smileysmileysmiley

 Feb 16, 2019
 #3
avatar+557 
+3

1. formula of circle when not centre (0,0) is:

(x-a)^2+(y-b)^2=r^2

(a,b) is centre

(-10,7) 

a=-10

b=7

substitute a and b into formula

(x+10)^2+(y-7)^2=65

 Feb 16, 2019

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