The equation of a circle is (x - h)^2 + (y - k)^2 = r^2
x and y are left alone in a circle equation, while h and k are the coordinates of the center.
Thus, our equation is (x - 7)^2 + (y + 2)^2 = 61
Answer:

Step-by-step explanation:
Given equation of line is:
y = -4x+9
Comparing it with the standard form
y = mx+b
m = -4
As we know that the product of slopes of perpendicular lines is -1
Let m1 be the slope of perpendicular line
m * m1 = -1
-4 * m1 = -1
m1 = -1/-4
m1 = 1/4
In order to find the value of b, putting the point in standard form
5 = (1/4)*4 + b
5 = 1 + b
b = 5-1
b = 4
Putting the value of b and m1 in standard form
..
Answer: X=7
Step-by-step explanation:Let's solve your equation step-by-step.
3x+8−x=4−2x+32
Step 1: Simplify both sides of the equation.
3x+8−x=4−2x+32
3x+8+−x=4+−2x+32
(3x+−x)+(8)=(−2x)+(4+32)(Combine Like Terms)
2x+8=−2x+36
2x+8=−2x+36
Step 2: Add 2x to both sides.
2x+8+2x=−2x+36+2x
4x+8=36
Step 3: Subtract 8 from both sides.
4x+8−8=36−8
4x=28
Step 4: Divide both sides by 4.
4x
=28
4x/4=x 28/4
=
28
/4=7
6 7/8= 55/8
6 1/6= 7/6
first find common denominators
55/8 * 3= 165/24
7/6 * 4= 28/24
165/24 divided by 28/24 is the same as 165/24 time 24/28
so that equals 3960/672
which equals 5.8928
so estimates about 5 shelves<span />