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Galina-37 [17]
3 years ago
12

Part A: The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the a

rea expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
2 answers:
Andru [333]3 years ago
5 0

Answer:

Step-by-step explanation:

4x² - 12x + 9 = ?

4x² - 12x + 9 = 4x²- 6x - 6x + 9 = 2x

2x(2x - 3) - 3(2x - 3)

(2x - 3)(2x - 3)

(2x - 3)²

Welcome Brazil!!!!

anastassius [24]3 years ago
3 0

Answer:

(8-(4+3)+3

4-7+3

-3+3

3-3

0

Step-by-step explanation:

This much only answer

Thank you

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The perimeter of a square picture frame is 24 in. Find the lengths of each side of the frame.
m_a_m_a [10]

Answer:

6 inches

Step-by-step explanation:

The perimeter formula for a square is P = 4*S

P =24

s = ?

24 = 4*S            Divide both sides by 4

24/4 = 4S/4      

S = 6

6 0
2 years ago
Determine the IQR for this set of data. 12, 13, 14, 15, 17, 18, 19, 19, 22, 23<br> 14 <br> 17.5
VladimirAG [237]

Answer:5

Step-by-step explanation:

4 0
3 years ago
in a recent year, the price of a gallon of heating oil in new england rose 3¢, dropped 4¢, and then rose 7¢. by how much did the
11111nata11111 [884]

the price of oil has increased by $0.06 during the period

you would do 3-4=-1 and then -1+7= 6

so you would be left with a gain of $0.06


hope this helps! good luck!

5 0
3 years ago
What’s the answer to 4x(x+3) &lt; -24
NARA [144]

The answer to the inequality is expressed as x< 1 and x< -4

<h3>What are inequalities?</h3>

Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.

Given the inequality;

4x (x+3) < -24

First, expand the bracket

4x² + 12x < -  24

Let's turn to quadratic inequality

4x² + 12x - 24 < 0

Factorize further

4 ( x² + 3x - 4) < 0

4 ( x² + 4x - x - 4) < 0

4 ( x(x + 4) - 1 (x + 4) ) < 0

4(x - 1) ( x + 4) < 0

expand the bracket

4x - 4 < 0

x < 1

And

4x + 16 < 0

x < -4

Thus, the answer to the inequality is expressed as x< 1 and x< -4

Learn more about inequalities here:

brainly.com/question/25275758

#SPJ1

6 0
1 year ago
What is 45.00 divided by 3%
Elena-2011 [213]

Answer:

The answer is 1500.

Step-by-step explanation:

To solve this problem you should change 3% to a decimal. We do this by moving the decimal 2 places to the left. The decimal form of 3% is 0.03. We then have to divide 45/0.03 in order to get our answer.

I hope this helped :)

3 0
3 years ago
Read 2 more answers
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