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3 years ago

1. A line passes through (−1, 7)(−1, 7) and (2, 10)(2, 10).

1 answer:

3 0

1. y-7=(10-7)/(2--1)*(x--1)
y-7=x+1
-x+y=1+7
answer: -x+y=8 (letter b)

2. y=0.75x+1 because it begin in 1 and increase 0.75in per each hour (letter b)

3. letter a, only replace the pointinto the formula y-y1=slope*(x-x1), for your ponit x1=5 and y1=9

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Answer:

$\frac{-24m^5n^4}{8m^{-7}n^{-2}}=-3m^{12}n^{6}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{-24m^5n^4}{8m^{-7}n^{-2}}$

We have to simplify this using the properties of exponents.

The property that we use here is:

$\frac{a^m}{a^n}=a^{m-n}$

So, let us simplify the powers of $m\ and\ n$ separately and -24 and 8. This gives,

$\frac{m^5}{m^{-7}}=m^{5-(-7)}=m^{5+7}=m^{12}\\\frac{n^4}{n^{-2}}=n^{4-(-2)}=n^{4+2}=n^6\\\frac{-24}{8}=-3$

Therefore, the simplified form is:

$\frac{-24m^5n^4}{8m^{-7}n^{-2}}=-3m^{12}n^{6}$

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4 years ago

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