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.

(2a)(2ab) + (4a²)(6b)
(2 x 2)(a x a x b) + (4 x 6)(a² x b)
(4)(a¹⁺¹ x b) + (24)(a²b)
4a²b + 24a²b
28a²b

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

4b - 7 = \( \frac{b}{-4} \)
-4 x (4b - 7) = b
(-4 x 4b) + (-4 x -7) = b
-16b + 28 = b
-16b + 28 - b = 0
-16b - b = -28
-17b = -28
b = \( \frac{-28}{-17} \)
b = 1\(\frac{11}{17}\)

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. 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, 2) and (2, 6) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = x + 4

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 43° - 35° = 102°

So, d° = 35° + 102° = 137°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 43° = 137°