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vladimir2022 [97]
3 years ago
8

What is the midpoint of (-5,6) (8,-6)

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Answer:

The answer is

<h2>( \frac{3}{2}  \: , \: 0)</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

(-5,6) (8,-6)

The midpoint is

M = ( \frac{ -  5 + 8}{2}  \:  , \:  \frac{6 - 6}{2} ) \\  = ( \frac{3}{2}  \: , \:  \frac{0}{2} )

We have the final answer as

( \frac{3}{2}  \: , \: 0)

Hope this helps you

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Answer: x=8

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360  (number of sides-2 * 180)

so

14x-7+11x-2+93+76= 360\\25x + 160=360\\25x= 200\\x=8

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marshall27 [118]

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3 years ago
If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
Degger [83]

Answer:

\frac{f}{g}(5) = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = \frac{1}{2x}

* We want to find \frac{f}{g}(5)

- Lets find at first \frac{f}{g}(x)

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∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

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  the fraction after the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

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∴  \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴  \frac{f}{g}(5) = 270

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