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Inga [223]
3 years ago
5

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

Mathematics
1 answer:
Triss [41]3 years ago
3 0
Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

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mars1129 [50]

Lets put the problem all together first

1) p^2+mn

2^2+0(-1)

Now we start

2x2=4

0x-1=0

4+0=4

Your answer should be 4:)

2) m+np^2

0+-1(2)^2

2x2=4

-1x4=-4

0+-4=-4

Your answer should be -4:)

6 0
2 years ago
Read 2 more answers
Which expression best represents the product of two consecutive integers? CLEAR CHECK x?(2+x) x?(x+1) 2?(x+1) 2x+2
Stella [2.4K]

Answer:

<h2>The product of two consecutive integers:</h2><h2>x · (x+1) = x(x + 1)</h2>

Step-by-step explanation:

Consecutive integer:

... -2, -1, 0, 1, 2, 3, ...

Difference between two consecutive integers is equal to 1.

Therefore two consecutive integers is x and x + 1.

4 0
2 years ago
At the beginning of the day, Meredith has 85.4 pounds of apple to sell at the farmers market. The table shows the change in the
fredd [130]

the answer is I think -10.2

6 0
3 years ago
What is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 Round the answer to the tenths place.
Ainat [17]
The standard deviation would be A. 2.4
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3 years ago
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19x+rx=−37x+w solve for x
Oksanka [162]
Get all the x terms on one side, and the w on the other.
Add 37x on both sides to get 56x+rx=w.
Use the distributive property backwards to get x(56+r)=w.
Divide by 56+r on both sides to get x=w/(56+r)
4 0
3 years ago
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