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svetoff [14.1K]
3 years ago
8

What is the midpoint of the horizontal line segment graphed below (-3,5) (5,5)​

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer: (1,5)

Step-by-step explanation:

1. To solve this, use the midpoint formula:

(\frac{x1+x2}{2}, \frac{y1+y2}{2})

2. Insert your values into the equation to get your answer

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

3. Simplify the formula

(1, 5)

4. The midpoint is (1, 5)

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Step-by-step explanation:

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Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3
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\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=4.5\\
x=3
\end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k
\\\\\\
13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}
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