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Tom [10]
3 years ago
11

What is y=-x^2-14x-59 in vertex form

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

The equation of a parabola given y=-x^2-14x-59

We have to write it in vertex form.

The vertex form of a parabola is y=a(x-h)^2+k

So to write it in vertex form we have to make the right side as a perfect square by using completing the square method.

y= -x^2-14x-59

y=-(x^2+14x+59)

Here 14x given. By dividing 14 by 2 we will get 7. So we have to add and subtract (7)^2 to the right side.

y= -[x^2+14x+(7)^2-(7)^2+59]

y=-[x^2+14x+(7)^2-49+59]

We know that, a^2+2ab+b^2 = (a+b)^2, so x^2+(2)(x)(7)+7^2 = (x+7)^2.

y= -[(x+7)^2-49+59]

y=-[(x+7)^2 +10]

y=-(x+7)^2-10

So we have got the required vertex form of the parabola.

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3 years ago
F(x) = 2x + 5
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9514 1404 393

Answer:

  15. f(x) +g(x) = 7x +2

  16. f(x) -g(x) = -3x +8

  17. h(x) · g(x) = 35x -21

Step-by-step explanation:

Substitute the function definition for each function expression and simplify.

__

15. f(x) + g(x) = (2x +5) +(5x -3)

  f(x) +g(x) = 7x +2

__

16. f(x) - g(x) = (2x +5) -(5x -3)

  f(x) -g(x) = -3x +8

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17. h(x) · g(x) = (7) · (5x -3)

  h(x) · g(x) = 35x -21

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3 years ago
Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds fas
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Answer

Find out how many seconds faster has Alexandria's time then Adele's time .

To proof

Let us assume that seconds faster has Alexandria's time then Adele's time be x.

As given in the question

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds.

Than the equation becomes

x = 32.56 - 29.4

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Therefore the 3.16 seconds faster has Alexandria's time then Adele's time .

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Answer:

(10x+26)=36x

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Step-by-step explanation:

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