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sasho [114]
3 years ago
14

Find the obtuse angle the line y-2x=7 makes with the x- axis

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

<span>y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
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The length of the garden needs to be 22 feet longer than the width of the garden.

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What will the length be of garden ?

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As length of the garden needs to be 22 feet longer than the width,

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