Find the x- and y-intercept of the line.
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The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
<h3>Trigonometry </h3>From the question, we are to determine the values of the missing sides
From the diagram,
Opposite = 9
Adjacent = y
Hypotenuse = x
Included angle = 45°
Using SOH CAH TOA, we can write that
∴ y = 9
Since the triangle is a right triangle, we can write that
x² = y² + 9² (<em>Pythagorean theorem</em>)
x² = 9² + 9²
x² = 81 + 81
x² = 162
x = √162
x = 12.7
Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
Learn more on Trigonometry here: brainly.com/question/24259483
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The vertical asympototes of f(x) are at x = -6 and x = 6
Step-by-step explanation:
To find the vertical asymptote(s) of a rational function,
- Equate the denominator by 0
- Solve it for x
- If x = a, then the vertical asymptote is at x = a
∵
- Equate the denominator x² - 36 by 0
∵ x² - 36 = 0
- Add 36 to both sides
∴ x² = 36
- Take √ for both sides
∴ x = ± 6
∴ There are vertical asymptotes at x = -6 and x = 6
The vertical asympototes of f(x) are at x = -6 and x = 6
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You can learn more about the asymptotes in brainly.com/question/6459599
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