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.

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(3ab) + (4a²)(6b)
(8 x 3)(a x a x b) + (4 x 6)(a² x b)
(24)(a¹⁺¹ x b) + (24)(a²b)
24a²b + 24a²b
48a²b

A trapezoid is a quadrilateral with one set of parallel sides.

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

b + x = 2
x = 2 - b

then substitute the result (2 - 1b) into the second equation:

-6b - 3(2 - b) = 6
-6b + (-3 x 2) + (-3 x -b) = 6
-6b - 6 + 3b = 6
-6b + 3b = 6 + 6
-3b = 12
b = \( \frac{12}{-3} \)
b = -4

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.