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Vladimir79 [104]
2 years ago
12

-

Mathematics
1 answer:
Jlenok [28]2 years ago
5 0

Answer:

(x - \frac{5}{2} )² + \frac{7}{4}

Step-by-step explanation:

x² - 5x + 8

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 5x

x² + 2(- \frac{5}{2} )x + \frac{25}{4} - \frac{25}{4} + 8

= (x - \frac{5}{2} )² - \frac{25}{4} + \frac{32}{4}

= (x - \frac{5}{2} )² + \frac{7}{4}

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Answer:

  a = 21

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Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

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  a = 42/2 = 21

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