4 years ago

What is the concept of ratios

Mathematics

2 answers:

Flura [38]4 years ago

8 0

How is elementary? just wondering haha seems hard for a kid

Tema [17]4 years ago

6 0

A ratio is the compression of two homogenous quantities if that helps

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3 years ago

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpo

Marianna [84]

Answer:

Equation of the line that passes through the midpoint and is perpendicular to PQ is 2 x - y +1 = 0

Step-by-step explanation:

Step(i):-

Given points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ

= $(\frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2} )$

= $(\frac{-4+4}{2} , \frac{3-1}{2} ) = ( 0 , 1 )$

Step(ii):-

Slope of PQ

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-1-3}{4+4} = \frac{-4}{8} = \frac{-1}{2}$

The slope of the line is Perpendicular to PQ

$m_{2} = \frac{-1}{m_{1} } = \frac{-1}{\frac{-1}{2} } = 2$

Equation of the line that passes through the midpoint and is perpendicular to PQ

$y - y_{1} = m ( x - x_{1} )$

$y - 1 = 2 ( x - 0 )$

2 x - y +1 = 0

Final answer:-

Equation of the line that passes through the midpoint and is perpendicular to PQ

2 x - y +1 = 0

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