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Kisachek [45]
3 years ago
8

How do I solve absolute value equalities? 4| n+8 | = 56

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

Step-by-step explanation:

I believe you do, 4 times each number in the absolute value symbol. 4 times n, 4 times positive 8.  4n+32=56

You minus 32 on both sides and you get 24. Then you take 24 and divide it by 4, and there is your answer 6.

You can check it by plugging 6 into the equation.

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If the area of a rectangle is x^2+7x+12, what is the expression for the perimeter?
Cerrena [4.2K]

Length = 13 = (x + 3)

Width = 14 = (x + 4)

x2 + 7x + 12 = area of the rectangle

can be factored into

(x + 3)(x + 4)

Let L = one of the factors (x + 3)

Let W = the other factor (x + 4)

If x = 10 then

(10 + 3) = 13 = L

(10 + 4) = 14 = W

Checking this can be checked a couple of ways

Plug x = 10 into the original equation

x2 + 7x + 12

102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area

Multiplty the factors

L x W = 13 x 14 = 182 = Area

I hope you find this useful if you have any questions please send me a message.

3 0
3 years ago
Can someone PLEASE tell me the answer to this
Serjik [45]

Answer:

third option is the correct answer

go with the names of the triangle

the triangles are HIJ and LMN

so the ratios will be accordingly

5 0
3 years ago
Read 2 more answers
Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim
Vadim26 [7]

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
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  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

#SPJ1

7 0
1 year ago
A person drinks 1 pint of milk a day. At this rate how many gallons will a person drink in a leap year (366 days)?
Diano4ka-milaya [45]
OK. SO first you need to know how many pints are in a gallon.  ( one gallon = 8 quarts ) 

One day = one pint. So we want to find what 366 days equals. 1*366=366 pints in 366 days. We now have 366 pints. We need to convert that to gallons. One gallon equals 8 quarts, so we divide 366 by 8. 366/8= 45.75

So in one leap year a person drinks 45.75 gallons of milk

If that doesn't make sense, ask and i can re explain. Hope that helped! <span />
3 0
3 years ago
A cell phone plan charges a flat
torisob [31]

Answer:

1) c=.07h+15.25 is the answer.

7 0
3 years ago
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