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sladkih [1.3K]
3 years ago
15

Question 2 (25 points)

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

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A quadratic in vertex form reads as

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where (<em>a</em>, <em>b</em>) is the vertex.

To get the given quadratic in this form, complete the square:

<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49

Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :

(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>

So if

<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,

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3 years ago
Three consecutive integers have a sum of 51 . find the integers
nataly862011 [7]
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