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2 years ago

How do I Rewrite the function by completing the square x^2+8x-29

Mathematics

1 answer:

Flura [38]2 years ago

5 0

Answer:

(x +4)^2 -45

Step-by-step explanation:

The square of a binomial has the form ...

(x +a)^2 = x^2 +2ax +a^2

That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.

To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:

x^2 +8x +16 -29 -16

(x^2 +8x +16) -45 . . . . group the terms that make the square

(x +4)^2 -45 . . . . rewritten after completing the square

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Given:

Height of the lighthouse = 280 feet

The angle of depression from the top of the lighthouse to a ship = 18°.

To find:

The distance between boat and shore.

Solution:

Draw a diagram by using the given information.

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

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Using a calculator, we get

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2 years ago

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Answer:

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Step-by-step explanation:

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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

Percentages

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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