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3 years ago

A community center is expanding the size

Mathematics

1 answer:

Katen [24]3 years ago

6 0

So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).

The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2

But the proper way to write it is 9y^2+1350y+45000

When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144

So the new area would be 99144 ft^2

Hope this helped!

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The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form

jonny [76]

Answer:

$y = 5 ( x - 3 ) ^2 -2$

$y+2= 5 ( x - 3 ) ^2$

Step-by-step explanation:

Vertex form of a parabola is given as:

$y = a ( x - h ) ^2 + k$

Where ( $h,k$ ) is the vertex and $(x,y)$ are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

$h = 3,k = -2$

First of all, putting the vertex in the vertex equation as given above:

$y = a ( x - 3 ) ^2 + (-2)$

Now, putting the values of $x, y$ as 2, 3 and let us find the unknown variable $a$ :

$3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5$

Therefore, the equation in vertex form can be written as:

$y = 5 ( x - 3 ) ^2 -2$

$y+2= 5 ( x - 3 ) ^2$

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wariber [46]

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Step-by-step explanation:

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