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oksian1 [2.3K]
3 years ago
11

Determine if the given ordered pair is a solution to the equation. Show work full.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

The ordered pair is not a solution of the equation

Step-by-step explanation:

we know that

If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation

we have

y=-3x-13

Substitute the value of x and the value of y of the given ordered pair in the linear equation and analyze the results

For x=-1, y=15

15=-3(-1)-13

15=3-13

15=-10 ----> is not true

so

the ordered pair not satisfy the equation

therefore

The ordered pair is not a solution of the equation

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Point U has Coordinates (-5,1) and point V has coordinates (7,9) find the coordinates of the midpoint of UV
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The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

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Midpoint of a Line Segment:

A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and  X₂, Y₂ is calculated using:

<h3>According to the given data:</h3>

Point U has Coordinates (-5,1).

point V has coordinates (7,9).

Find  coordinates of the midpoint of UV = ?

We know that to find Midpoint of a Line Segment:

                               = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

Where U

           X₁ = -5

           Y₁ = 1

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           Y₂ = 9

Putting the value in the formula:

UV = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

       = (-5 + 7)/2 , (1 + 9)/2

       = -6 , 5

The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

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