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irakobra [83]
3 years ago
14

An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equatio

n x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?
Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
This is a fun problem!  Just graph the two equations, then see what points the line intersects with the parabola.  Or, set the two equations equal to each other, and solve for the two intersecting points.
Solve for x and y:       -2x+8 = x-2.23y+10.34 
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The scale factor in the question given above is: 2 See the explanation below.

<h3>What is a scale factor?</h3>

In math, the scale factor is the extent or ratio by which a geometrical shape is enlarged or reduced.

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We know that:

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The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry

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The x-intercepts are at the points (2,0) and (-4,0)

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