The equation of a circle is given. what is the diameter of the circle? round to the nearest tenth.

(x-2)2 + (y+3)2 = 52

14.2 is the diameter.

Step-by-step explanation:

The radius squared = 52.

What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)

You can break the 52 down.

sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.

d = 2*radius.

d = 2(2 sqrt(13) )

d = 4 sqrt(13)

That is the diameter. You want it to the nearest 1/10

d = 14.222 but it is to the nearest 1/10

d = 14.2

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

a 360 degree rotation

step-by-step explanation: