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3 years ago

Factor each expression by factoring out the common binomial 5a(y + 4) + 8(y + 4)

Mathematics

1 answer:

Tems11 [23]3 years ago

6 0

Answer:

Factoring the term $5a(y + 4) + 8(y + 4)$ we get $(y+4)(5a+8)$

Step-by-step explanation:

We need to factor the term: $5a(y + 4) + 8(y + 4)$

Factoring:

$5a(y + 4) + 8(y + 4)$

Taking (y+4) common

$(y+4)(5a+8)$

It cannot be further factored.

So, Factoring the term $5a(y + 4) + 8(y + 4)$ we get $(y+4)(5a+8)$

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3 years ago

Clara created a coordinate grid of her city. The bowling alley is located at (10, 12) and the skating rink is located at (-6, -4

yulyashka [42]

First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

$\begin{gathered} P(BA,SR)=(\frac{10-6}{2},\frac{12-4}{2})\text{ = (}\frac{4}{2},\frac{8}{2}) \\ \Rightarrow P(BA,SR)=(2,4) \end{gathered}$

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

$\begin{gathered} P(MT,SR)=(\frac{-6+2}{2},\frac{4-4}{2})=(-\frac{4}{2},0) \\ \Rightarrow P(MT,SR)=(-2,0) \end{gathered}$

Therefore, Clara's house is located at (-2,0)

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1 year ago