Give the equation of the circle whose center is (5, -3) and goes through (2,5)

For this we use 
y - y1 = m ( x - x1 ) to help us find the slope first
so we will plug in the given coordinates
5 - -3 = m ( 2 - 5)
8 = m ( -3)
divide by the -3 to isolate the m
-8/3 = m

so now we know that the slope is 11

we will go back to that equation to find the y- intercept
y - y1 = m ( x - x1)
now we will plug in the slope and the first coordinate we are given
so
y - -3 = -8/3 ( x -5)
do the distributive property
y + 3 = -8/3x + 40/3
subtract 3 from both sides to isolate the y
y = -8/3x + 31/3

now to write in standard form
add 8/3x to both sides to bring it to the left of the equation
8/3x + y = 31/3

Hope this helps :)

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!

Claude debussy's music was associated with answer choice 3, impressionist