<h3>Part A</h3>
<u>Factoring the area:</u>
- 4x² + 20x + 25 =
- (2x)² + 2*2x*5 + 5² =
- (2x + 5)²
<u>The length of the side is:</u>
<h3>Part 2</h3>
<u>Factoring the area:</u>
- 4x² − 9y²=
- (2x)² - (3y)² =
- (2x + 3y)(2x - 3y)
<u>The sides of the rectangle are:</u>
Answers: 49, 1, 49
Those values go in the blanks from left to right
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Explanation:
The rule we use is x^(-k) = 1/(x^k)
That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.
Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.
Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.
Lastly, 7^2 = 7*7 = 49 will go in the third box.
Opposite angles are equal, so we know that C=2x and D=5x+5 as well.
The sum of the interior angles of any quadrilateral is 360, so we have

So, the measures of the angles are

The first question is 1.5
We get that by dividing the amount of coco (6) but the number of cups (4)
The second answer is 4/6 or .666666
We get that but dividing 4 by 6
In math, "is" means "is equal to"
"of" means "times"
Multiply each side by 10: 0.4 = 'x'