A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 7) and (2, -1) so the slope becomes:

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s²

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{4} \) = 2

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c² = a² + b²
c² = 2² + 2²
c² = 8
c = \( \sqrt{8} \) = \( \sqrt{4 x 2} \) = \( \sqrt{4} \) \( \sqrt{2} \)
c = 2\( \sqrt{2} \)

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.

-7c - 6y = -5c + 5y + 6
-7c = -5c + 5y + 6 + 6y
-7c + 5c = 5y + 6 + 6y
-2c = 11y + 6
c = \( \frac{11y + 6}{-2} \)
c = \( \frac{11y}{-2} \) + \( \frac{6}{-2} \)
c = -5\(\frac{1}{2}\)y - 3