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lianna [129]
3 years ago
12

Can someone help me?

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Given the width is \frac{1}{3} of the length, then

y - 4 = \frac{1}{3}(2y + 6)

Multiply through by 3 to clear the fraction

3y - 12 = 2y + 6 ( subtract 2y from both sides )

y - 12 = 6 ( add 12 to both sides )

y = 18

Thus

length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in

width = y - 4 = 18 - 4 = 14 in

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Answer:

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OR

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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:

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

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

OR

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

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