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vazorg [7]
4 years ago
11

Simplify the expression -2(p+4)

Mathematics
1 answer:
Dima020 [189]4 years ago
7 0

Answer: -2p-8

Step-by-step explanation:

You need to remember the Distributive property:

a(c+b)=ac+ab

And the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(+)(-)=-

Therefore, applying the explained before, to simplify the expression -2(p+4) you need to multiply each term that are inside of the parentheses by -2, then you get:

-2(p+4)\\(-2)(p)+(-2)(4)\\-2p-8

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A. 12
kondor19780726 [428]

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The  student is 6 feet tall. What is the height of the tree? Show all work

<em><u>Answer:</u></em>

Option D

The height of tree is 20 feet tall

<em><u>Solution:</u></em>

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}

This forms a proportion and we can solve the sum by cross multiplying

\frac{\text{height of tree}}{30} = \frac{6}{9}\\\\\text{height of tree} = 30 \times \frac{6}{9} = 30 \times \frac{2}{3}\\\\\text{ height of tree } = 10 \times 2 = 20

Thus height of tree is 20 feet tall

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