What’s the equation of the circle with the center of five, -4 that passes through -3, two

(x-5)^2 + (y+4)^2 = 100

Step-by-step explanation:

First you need to know the equation of a circle which is,

(x – h)^2 + (y – k)^2 = r^2

(h,k) is the center point and r is the radius.

To find the radius use the distance formula which is

d= when you substitute you will get

which simplifies to 10. That is the radius.

Then you will substitute that and the center point back into the equation to get the answer.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions