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liq [111]
2 years ago
10

Write the equation of the line that

Mathematics
1 answer:
zlopas [31]2 years ago
8 0

Answer:

y=-1/2x+2

Step-by-step explanation:

First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.

Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2

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The length of a rectangle is 5 less thsn twice it's width. The perimeter is 26 meters. Find the deminsion of rectangle
Reptile [31]

Answer:Width is 6 meters and length is 7 meters

Step-by-step explanation:Let width be  

x

and length be  

y

. We know that the length of the rectangle is 5 less than twice its width. This can be written as:

y

=

2

x

−

5

We also know that the perimeter of the rectangle is 26 meters. The perimeter is the sum of all sides: 2 widths + 2 lengths.

P

=

2

x

+

2

y

26

=

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(

x

+

y

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x

+

y

=

13

We now have two equations which we can solve simultaneously. Substitute  

y

=

2

x

−

5

into the second equation:  

x

+

y

=

13

x

+

(

2

x

−

5

)

=

13

3

x

=

18

x

=

6

Now that we have a value for  

x

(width), we can sub this value into the first equation to get  

y

(length).

y

=

2

(

6

)

−

5

y

=

7

There are other methods you can use to solve simultaneous equations.

Hope this helps :)

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3 years ago
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Nataliya [291]

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puteri [66]
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