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3 years ago

What is the solution to the inequality -6+|2p+3|>7

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

6 0

Answer:

Option A is the answer

Step-by-step explanation:

andrezito [222]3 years ago

5 0

Answer:

p >5 or p <-8

Step-by-step explanation:

-6+|2p+3|>7

Add 6 to each side

-6+6+|2p+3|>7+6

|2p+3|>13

We get a positive and negative solution

2p +3 > 13 and 2p +3 < -13

Subtract 3 from each side

2p +3 -3> 13-3 or 2p +3-3 < -13-3

2p > 10 2p < -16

Divide by 2

2p/2 > 10/2 2p/2 <-16/2

p >5 or p <-8

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3 years ago

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3 years ago

A triangular piece of fabric has an area of 45 square inches. The height of the triangle is 15 inches. What is the length of the

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Answer:

The length of the triangle’s base is of 6 inches.

Step-by-step explanation:

The area of a triangle is given by the following equation:

$A = \frac{b*h}{2}$

In which b is the length of the triangle's base and h is the height.

In this question, we have that:

$A = 45, h = 15$

$A = \frac{b*h}{2}$

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$b = \frac{45*2}{15}$

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Area in square inches, the length of the triangle's base will be in inches.

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2 years ago