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lisov135 [29]
3 years ago
14

PLS HELP WILL MARK BRAINLIEST

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

other person is correct

 

Step-by-step explanation:

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Answer:

\displaystyle y  =   - x  +  2

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Step-by-step explanation:

we are given a vertex of a square i.e <u>(</u><u>1</u><u>,</u><u>1</u><u>)</u>

and the equations of the two parallel sides

notice that, the given vertex coordinates satisfy one of the parallel side i.e <u>y=</u><u>x </u>which means that (1,1) points lie on one of Parallel sides

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every angles of a square is <u>9</u><u>0</u><u>°</u><u> </u>

therefore,

we need to figure out the remaining <u>Perpendicular</u><u> </u><u>line </u><u> </u>of the given Parallel sides so

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recall that,

Parallel lines have the same slope thus

\displaystyle  m_{  \rm perpedicular} =  - 1

since we are given a vertex the equation of the perpendicular line should be

\displaystyle y - 1 =  - 1(x - 1)

distribute:

\displaystyle y - 1 =  - x  +  1

add 1 to both sides:

\displaystyle y  =   - x  +  2

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation

so the slope of the perpendicular line is -1

and the equation:

y - 0.5 =  - 1(x - 0.5)

distribute:

y - 0.5 =  - x  +0 .5

add 0.5 to both sides:

y =  - x  +1

and we are done!

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Answer:

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Step-by-step explanation:

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