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harina [27]
2 years ago
6

Need answer please show work

Mathematics
1 answer:
Jet001 [13]2 years ago
7 0

Let us set up some variabe:

  • height: h
  • base: b

Use the known information:

  • b = 2h + 8

Now lets find the area

   Area = (1/2) * b *h = (1/2) * h * (2h + 8)

Hope that helps!

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In the parabola y = (x + 12 + 2, what is the vertex?
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Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

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

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(h,k) is the vertex of the parabola

In this problem we have

y=x^{2}+12x+2

Convert in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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y-2+36=x^{2}+12x+36

y+34=x^{2}+12x+36

Rewrite as perfect squares

y+34=(x+6)^{2}

y=(x+6)^{2}-34

The vertex is the point (-6,-34)

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