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3 years ago

Find endpoint with given endpoint and midpoint

Mathematics

1 answer:

TEA [102]3 years ago

3 0

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

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3 years ago

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Answer:

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3 years ago

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Veronika [31]

Answer:

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4 0

3 years ago

Read 2 more answers

Please help.........

Alex

Answer:

- $\frac{61}{11}$

Step-by-step explanation:

$\frac{x}{y}$ = $\frac{5}{6}$ ( cross- multiply )

6x = 5y ( divide both sides by 6 )

x = $\frac{5}{6}$ y

Then

$\frac{5x+6y}{5x-6y}$ ← substitute x = $\frac{5}{6}$ y into the expression

= $\frac{\frac{25}{6}y+6y }{\frac{25}{6}y-6y }$

= $\frac{\frac{61}{6}y }{-\frac{11}{6}y }$

= $\frac{\frac{61}{6} }{-\frac{11}{6} }$

= $\frac{61}{6}$ × - $\frac{6}{11}$

= - $\frac{61}{11}$

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