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Furkat [3]
2 years ago
7

What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)?

Mathematics
1 answer:
ElenaW [278]2 years ago
3 0

Answer:

The answer is

<h2>y = -2/3x - 10/3</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

y = -2/3x + 4

Comparing with the above formula

m / slope = - 2/3

Since the lines are parallel their slope are also the same

Thus

Slope of the parallel line = -2/3

Equation of the line using point ( - 2 , - 2) is

y + 2 =  -  \frac{2}{3} (x + 2)

y + 2 =  -  \frac{2}{3} x  -  \frac{4}{3}

y =   - \frac{2 }{3} x -  \frac{4}{3}  - 2

We have the final answer as

y =  -  \frac{2}{3} x -  \frac{10}{3}

Hope this helps you

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3 years ago
Find five numbers so that the mean, median, mode and range is 4.<br>​
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Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

<u></u>

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

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1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

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Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

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Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

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Step-by-step explanation:

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