2 years ago

Rewrite the function by completing the square f(x)=x^2-4x-26

Mathematics

1 answer:

leonid [27]2 years ago

8 0

Answer:

(x - 2)² - 30

Step-by-step explanation:

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30

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Answer:

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Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

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The ratio of corresponding sides are:

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From the attachment, we have:

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Express as fraction

$\frac{18 }{ 30 }= \frac{15 }{ y}$

Make y the subject

$y = 15 * \frac{30 }{ 18 }$

$y = \frac{15 *30}{ 18 }$

$y = \frac{450}{ 18 }$

$y = 25$

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