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tekilochka [14]
3 years ago
8

Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two

Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

4y = 3x + 4

3x-4y = -4 is correct

Step-by-step explanation:

This is what we do.

We first express the first equation in the form;

y = mx + c

where m represents the slope of the line

Thus we have;

4y = 3x -7

divide through by 4

y = 3/4x -7/4

Thus the slope here is the coefficient of x which is 3/4

Now, since the lines are parallel, it means that their slopes are equal

So the slope of the other line too is 3/4

We now use the point slope form to find the equation of this other line

Mathematically, that would be;

y-y1 = m(x-x1)

where (x1,y1) = (-4,-2)

Substituting this into the point slope equation, we have;

y-(-2) = 3/4(x-(-4))

y + 2 = 3/4(x + 4)

Cross multiply

4y + 8 = 3x + 12

4y = 3x + 12-8

4y = 3x + 4

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gladu [14]

Answer:

20,100 I think

Step-by-step explanation:

8 0
2 years ago
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What is the domain of the relation?
amm1812

Domain:

{-4, -2, -1 , 1, 4}


Hope it helps

3 0
3 years ago
84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

4 0
3 years ago
PLEASE HELP ME FAST! IF GIVEN GOOD ANSWERS WILL MARK AS BRAINLIEST!
WARRIOR [948]

Answer:

Step-by-step explanation:

1. Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.

We find that this is of the form y = mx + B where

m = 10 and B = 30

Hence slope = m = 10

Answer is 10,

and it represents the rate of change of y for a unit change in x.

2. The answer is the third option "No; the data doesn't suggest a causation, and many people are healthy who don't exercise." Correlation is two data set that are linked or connected together so in this case it would be a correlation because all of the data is close and connected to each other.

3. The answer is "Correlation, because time of day doesn't cause a person to run faster or slower ".

That's the correct answer because causation would mean there is a cause and effect and in the question, there is no cause. It can't be the last one because there is enough information. It also can't be the third one because there is a relationship since he shown he runs faster in the evening. Also I took the test and it was right!

4 0
3 years ago
The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width. Find the dimensions of
faltersainse [42]

The answer is that the width is 16 m

7 0
2 years ago
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