A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-4c(c - y)
-4(-7)(-7 - 2)
-4(-7)(-9)
(28)(-9)
-252

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

-6c + 2y = 4c + 8y - 3
-6c = 4c + 8y - 3 - 2y
-6c - 4c = 8y - 3 - 2y
-10c = 6y - 3
c = \( \frac{6y - 3}{-10} \)
c = \( \frac{6y}{-10} \) + \( \frac{-3}{-10} \)
c = -\(\frac{3}{5}\)y + \(\frac{3}{10}\)

You need to find the value of b so solve the first equation in terms of z:

6b + z = -8
z = -8 - 6b

then substitute the result (-8 - 6b) into the second equation:

-5b - 6(-8 - 6b) = 3
-5b + (-6 x -8) + (-6 x -6b) = 3
-5b + 48 + 36b = 3
-5b + 36b = 3 - 48
31b = -45
b = \( \frac{-45}{31} \)
b = -1\(\frac{14}{31}\)