The equation w(w + 6) = 40 represents the area of a rectangle where w represents the width. What are the dimensions of the rectangle?

The dimensions are thus 4 by 10 units

Step-by-step explanation:

Rewrite w(w + 6) = 40 in standard quadratic form ax^2 + bx + c = 0:

w^2 + 6w - 40 = 0

This factors as follows:

w^2 + 6w - 40 = 0  =>  (w + 10)(w - 4) = 0.

Solving for w, we get w = 4 (and also the unhelpful w = -10).

The width of the rectangle is 4 and the length is 4 + 6, or 10.

The dimensions are thus 4 by 10 units, with area = 40 units^2

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)