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3 years ago

what is the equation of the line that is parallel to the line y =-1/3x 4 and passes through the point (6, 5)?

1 answer:

7 0

General equation of the line
y = mx + c

If it is a parallel line, m = -(1/3) and x=6 & y=5
5 = (-1/3) * 6 + c
5 = -2 + c
c = 7

Therefore the equation of the parallel line
y = (-1/3) x + 7

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Express each ratio as a fraction in the simplest form.<br> 12 beetles out of 18 insects<br> .

slava [35]

Answer:

2/3

Step-by-step explanation:

12/6=2

18/6=3

the fraction is 2/3

i think this is what your teachers means, lmk if thats wrong

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bonufazy [111]

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What is 78% of 380

= 78% * 380

= 0.78 * 380

= 296.4

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yanalaym [24]

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A map of the United States is displayed in the classroom with a scale of

Marysya12 [62]

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Step-by-step explanation:

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1 year ago

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I need help on this question I’m confused I think a &b are the same and c &d are different but I’m not to sure !

Nina [5.8K]

<h3>Answer: They're all the same</h3>

====================================================

Reason:

$2^6$ means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say

$2^6 = (2*2*2)*(2*2*2)$

The parenthesis are optional, but I find they're handy to count the '2's easier.

----------------

Now notice that

$2^3 = 2*2*2$

So,

$2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\$

The last step is possible because we have two copies of $2^3$ multiplied together.

This shows that choice C is equivalent to A and B.

-------------------

Lastly,

$2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\$

The jump to the last step is possible because we have three copies of $2^2$ multiplied together.

This shows choice D is equivalent to the others.

All four expressions are the same.

They represent different ways to say the same number. That number being 64.

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2 years ago