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2 years ago

Find the equation!!! asap. 10 points

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

$y=\frac{1}{60}x^2$

Step-by-step explanation:

The focus of the parabola is (0,15)

and the directrix is y=-15.

The equation of this parabola is given by:

$x^2=4py$

The vertex of this parabola is at the origin (0,0)

The value of p is the distance from the vertex to the focus.

p=15-0=15

The equation of the parabola is

$x^2=4(15)y$

$x^2=60y$

$y=\frac{1}{60}x^2$

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3 years ago

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A rectangle has a perimeter of length + length + width + width.

L = length of the fence.

W = width of the fence.

so the perimeter will be L+L+W+W or 2L+2W or 2(L+W).

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$\bf 120\le 2(L+W)\implies 120\le 2(2W+W)\implies 120\le 2(3W)
\\\\\\
120\le 6W\implies \cfrac{120}{6}\le W\implies \boxed{20\le W}\\\\
-------------------------------\\\\
168\ge 2(L+W)\implies 168\ge 2(2W+W)\implies 168\ge 2(3W)
\\\\\\
168\ge 6W\implies \cfrac{168}{6}\ge W\implies \boxed{28\ge W}\\\\
-------------------------------\\\\
20\le W \le 28$

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