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irga5000 [103]
3 years ago
10

What is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= \frac{x_1+x_2}{2}

= \frac{-1+6}{2}

= \frac{5}{2}

= 2.5

The midpoint on Y-axis is:

= \frac{y_1+y_2}{2}

= \frac{5+(-3)}{2}

= \frac{5-3}{2}

= \frac{2}{2}

= 1

Thus the midpoint of AB is "2.5, 1".

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ANSWER
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3 years ago
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Prove that DE is parallel to BC. <br> Please help, will award brainliest.
Gennadij [26K]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

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

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = (\frac{4+2}{2}, \frac{6-2}{2} ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2\frac{-4+2}{-2-2} ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( \frac{4-2}{2}, \frac{6-4}{2} ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

m_{DE} = \frac{1-2}{1-3} = \frac{-1}{-2} = \frac{1}{2}

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

m_{BC} = \frac{-4+2}{-2-2} = \frac{-2}{-4} = \frac{1}{2}

Since the slopes are equal then DE and BC are parallel lines

6 0
3 years ago
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The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar
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Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

Therefore  5x²  = 45   Divide both sides by 5
                  x²  =  45/5
                  x²  = 9        Take square root of both sides
                  x   =  √9
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Length of larger square is 2x  = 2*3 = 6 cm
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Answer:

Step-by-step explanation:

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On the first of January you place $100 into your bank account. On the first of each month after that you
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Answer:

a) How much money is at the account at the end of March? At the end of March is $41.70

Step-by-step explanation:

please just look at the picture

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