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Mazyrski [523]
3 years ago
11

Find the value of a and b(a) 3: 5 = a: 15(b) 40: 16 = 10:b​

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

a = 9 I think

Step-by-step explanation:

I am still trying do b

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Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(0, –5);
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bearing in mind that, both fellows are at a distance "p" from the vertex, that puts the vertex right in the middle of them.

notice, the focus point is below the directrix, meaning, is a vertical parabola, and is also opening downwards, like in the picture below.

from -5 to 5 over the y-axis, there are 10 units, so the "p" distance is 5, so that puts the vertex right at the origin.

since the parabola is opening downwards, "p" is negative, thus -5.

</span>\bf \textit{parabola vertex form with focus point distance}&#10;\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=0\\&#10;k=0\\&#10;p=-5&#10;\end{cases}\implies 4(-5)(y-0)=(x-0)^2&#10;\\\\\\&#10;-20y=x^2\implies y=-\cfrac{1}{20}x^2<span>
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