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Nadusha1986 [10]
3 years ago
9

Factor

Mathematics
2 answers:
____ [38]3 years ago
7 0
(12x+13)2 hope this helps

Dennis_Churaev [7]3 years ago
7 0

Answer: D) (12x+13)^2

Step-by-step explanation:

The given polynomial : 144x^2 + 312x + 169

We can write the above expression as :

(12x)^2+2(12x)(11)+(13)^2

Using identity a^2+2ab+b^2=(a+b)^2,  we have a= 12x , b=11

\Rightarrow\ (12x)^2+2(12x)(11)+(13)^2=(12x+13)^2

Hence, factors of the given polynomial will be (12x+13)^2.

Thus , the correct answer is option (D).

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the figure at the right shows the dimensions of the garden in Marissa's back yard. What is the area of the garden?
vodka [1.7K]

The area of the garden is 74 square feet

<h3>How to determine the area of the garden?</h3>

The complete question is added as an attachment

From the attached figure, we have the following shapes and dimensions:

  • Rectangle: 10 by 5 feet
  • Trapezoid: Bases = 10 and 6; Height = 3

The rectangular area is

A1 = 10 * 5

Evaluate

A1 = 50

The area of the trapezoid is

A2 = 0.5 * Sum of parallel bases * height

This gives

A2 = 0.5 * (10 + 6) * 3

Evaluate

A2 = 24

The total area is

Total = A1 + A2

This gives

Total = 50 + 24

Evaluate

Total = 74

Hence, the area of the garden is 74 square feet

Read more about areas at:

brainly.com/question/24487155

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5 0
1 year ago
Which expression is equivalent to the following expression? 4.8 (2-3x) + 1.2x​
romanna [79]

Answer:

−13.2x+9.6

Step-by-step explanation:

8 0
3 years ago
Which expression shows a sum of three terms? 3x 3 + x 3 + x + 9 x3
Gennadij [26K]
9x+9*x3 I tried my best
4 0
4 years ago
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Manuela works as a security guard. She makes $15 per hour. Her employers deduct $125 from her weekly check to cover insurance an
raketka [301]

Answer:

At least 22 hours in a week.

Step-by-step explanation:

Given: Manuela make $15 per hour.

           Her employers deduct $125 from her weekly check.

           Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck= Hourly\ pay\times number\ of\ hours- Deduction

Now, forming an inequality to determine weekly pay of Manuela.

⇒ 15\times x- 125\geq 205

⇒15x-125\geq 205

Adding both side by 125

⇒15x\geq 205+125

⇒15x\geq 330

Divinding both side by 15

⇒x\geq  \frac{330}{15}

∴x \geq  22\ hours

Hence, Manuela works at least 22 hours per week.

7 0
3 years ago
5ft is what percent of 37 1/2 ft? I also need 37 1/2 is what percent of 5? Thank you!
artcher [175]

Answer:

13.33333333

Step-by-step explanation:

5 0
3 years ago
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