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koban [17]
3 years ago
5

Using the Laws of exponents, simplify the following problem.

Mathematics
1 answer:
den301095 [7]3 years ago
7 0
\frac{4 {}^{4} }{ {4}^{ - 8} ({4}^{ - 14}) } = \frac{4 {}^{4} }{ {4}^{ - 22 } }

(4^4)/(4^-22)
4^(4-(-22))
4^26


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What is the slope of (-12,-12) and (9,-9)
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Step-by-step explanation:

Slope, which is the same as gradient, is equal to

change in y axis ÷change in x axis

<h3>slope =  \frac{change \: in \: y}{change \: in \: x}</h3>

Our coordinates are (-12,-12) and (9,-9)

In (-12,-12),let the first -12 be <em>x1</em><em> </em>and the second one be <em>y1</em>

Same goes for the (9,-9), let 9 be <em>X2</em><em> </em>and -9l be <em>y2</em>

<em>slope =  \frac{y2 - y1}{x2 - x1}</em>

<em>=  - \frac{ - 9 -  - 12}{9 - 12}</em>

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3 years ago
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6 0
4 years ago
Solve by taking the square root of both sides 3(x-1)^2-162=0
Natali5045456 [20]
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
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we <span>take the square root of both sides 
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* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
7 0
3 years ago
Read 2 more answers
A basket contains 3/8 as many oranges as apples and three over four as many oranges as pairs what is the ratio of the number of
Gennadij [26K]
# of apples

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3/4(p)=# of oranges

(3/8)a=(3/4)p

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(3/8)(6/8)=p/a

3/6=p/a

1/2=p/a

the ratios of pears to apples is 1 to 2

for every 1 pear there are 2 apples

if there are 4 pears there are 8 apples

there are 8 apples

(3/8)(8)=3 oranges

there are 4 pears

(3/4)(4)=3 oranges again

8 apples, 3 oranges, 4 pears

15 pieces of fruit and 3 are oranges

ratio is 3/15=1/5

4/5/2015 | Arthur D.

3 0
3 years ago
Please help!!
crimeas [40]
1)~3x+12=3(x+4)\\\\ 2)~7y-7=7(y-1)\\\\ 3)~5x+30y=5(x+6y)\\\\ 4)~8m+36n=4(2m+9n)\\\\ 5)~6a^2+27=3(2a^2+9)\\\\ 6)~4y^2-24y=4y(y-6)\\\\ 7)~21cd-3d=3d(7d-1)\\\\ 8)~14gh-18h=2h(7g-9)\\\\ 9)~15a^2b-30ab=15ab(a-2)\\\\ 10)~16bc^2+24bc=8bc(2c+3)
3 0
3 years ago
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