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VikaD [51]
3 years ago
14

Explain how you know a system of equations has

Mathematics
1 answer:
shusha [124]3 years ago
4 0
When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example

3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions



infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line


1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2
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Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)
qaws [65]

Answer:

The answer is

<h2>(3  \: , \:  \frac{3}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} ) \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-1,5) and T(7, -2)

The midpoint is

M = ( \frac{ - 1 + 7}{2}  \:  ,  \:  \frac{ - 2 + 5}{2} ) \\  = ( \frac{6}{2}  \: , \:  \frac{3}{2} )

We have the final answer as

(3  \: , \:  \frac{3}{2} ) \\

Hope this helps you

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