algebra problems please help asap

Question

+1

2187

3

+10

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?

MathSmart Feb 16, 2019

lynx7 · Answer 1 · 2019-02-16T10:18:16

question 2 has not been written properly. rewrite question.

thank you.

qualitystreet · Answer 2 · 2019-02-16T10:19:17

1. (-10,7)

lynx7 · Answer 3 · 2019-02-16T10:23:42

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