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ale4655 [162]
3 years ago
13

Will give brainliest to correct answer.

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.

Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
                                        = 4(x^2+3x) + 9, or
                                        = 4x^2 + 12x + 9  = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3).  Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.

c=2x+3 is the correct answer.

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PLEASE HELP!!!!!<br> x^2 + 12xy + 35y^2
SVEN [57.7K]
The answer is = (x + 5y) (x + 7y)

Break the expression into two groups.
 
x^2 + 12xy + 35y^2
(x^2 + 5xy) (7xy + 35^2)

Factor out x from x^2 + 5xy: x(x + 5y)
Factor out 7y from 7xy + 35y^2: 7y(x + 5y)
=x(x + 5y) + 7y(x + 5y)

Next, factor out the common term (x+ 5y).

Answer = (x + 5y) (x + 7y)
7 0
2 years ago
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33 1/3% of 360 please help I don’t understand
Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0
2 years ago
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You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be
olga_2 [115]

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

  • brainly.com/question/9738996
  • brainly.com/question/9729310

#LearnwithBrainly

5 0
3 years ago
Simplify this expression 4×11×
bonufazy [111]
44 is the answer cause xs cancel out
6 0
3 years ago
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Please help asap 25 pts
Damm [24]
2y -3 >-1

2y > 2
y > 1

OR

1 > Y

Y < 1

Since it is only one, D is the correct answer
5 0
3 years ago
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