Select the graph that represents a proportional relationship

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

Answer: B

The graph of the proportional relationship equation is a straight line through the origin.

I hope this is good enough:

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The values of the new angles formed measure 87.5° each.

Angles are formed by the intersection of two lines sharing a common endpoint.

Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.

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Measure of each angle = 175 / 2 = 87.5°

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Recall your d = rt, distance = rate * time

so... hmm if the plane has a still air speed of say "r", when it's going with the wind, is not really going "r" fast, is going "r + 40 ", because the wind is adding 40mph to its speed, is really moving.

and when the plane is going against the wind, is not really going "r" fast either, is going " r - 40 ", because the wind is eroding speed from it.

now, it went 2240 miles for say "t" hours, and it did 1920 miles for the same length of time, "t" hours.

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{with the wind}&2240&r+40&t\\
\textit{against the wind}&1920&r-40&t
\end{array}
\\\\\\
\begin{cases}
2240=(r+40)t\implies \frac{2240}{r+40}=\boxed{t}\\
1920=(r-40)t\\
----------\\
1920=(r-40)\left( \boxed{\frac{2240}{r+40}} \right)
\end{cases}
\\\\\\
1920=\cfrac{(r-40)2240}{r+40}\implies 1920(r+40)=(r-40)2240
\\\\\\
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\\\\\\
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