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Lisa [10]
3 years ago
5

Please help! An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain

to Maurice how to find the equation of the parabola given the focal point and the directrix.
Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0

draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry. The vertex(h, k) will be located on the line half way between the focus and directrix. The distance from the focus to the vertex is called the focal length, call it a. The then equation is (x - h)^2 = 4a(y - k) the equation can be manipulated to y = 1/4a(x - h)^2 + k hope it helps

andreev551 [17]3 years ago
3 0

Answer:

To solve the equation of the parabola, I need to use the distance formula and substitute the focal point in (x1-y1). Also, I will use the distance formula for the direct x. Since it is a straight line, the x part could be eliminated and the remaining part of the formula would be used, substituting the y for the given measurement of the direct x. The two unfinished formulas would be combined and then solved for the equation. f(x) would be the unit of measurement for the parabola.

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PilotLPTM [1.2K]

Hello!

If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.

This means that the new equation must have a slope of -1/3.

Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.

y = -1/3x + b (6, 5)

5 = -1/3(6) + b

5 = -2 + b (add 2 to both sides)

7 = b

Therefore, the equation of the line is y = -1/3x + 7.

5 0
3 years ago
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ss7ja [257]

Answer:

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Step-by-step explanation:

Also, the first expression is simplified

4 0
3 years ago
PLzzzzzzz helppppppppp!!!
fomenos
5. y = -3 x - 8

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7 0
2 years ago
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Read 2 more answers
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