I also need help with this

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

<h3>Answer: 5(x+7)</h3>

Explanation:

We'll use the distributive rule in reverse

5x+35 = 5*x + 5*7 = 5(x+7)

In general, the distributive rule is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside the parenthesis.

When going from 5(x+7) to 5x+35, we multiply the outer 5 by each of the terms inside.

You might be interested in

Please help!! “Find the volume of the cylinder.”

Olegator [25]

Answer:

v=πr²h

v=3.14x6²x6

v=3.14x36x6

v=678.24cm³

7 0

3 years ago

The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equa

FrozenT [24]

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.

<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>

The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.

If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:

A = w · h

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. $\blacksquare$