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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 -intercept of the graph . 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
+557
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question 2 has not been written properly. rewrite question.

thank you.

Feb 16, 2019
#2
+429
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1. (-10,7)

Feb 16, 2019
#3
+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