Answer:
a.
b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)
Step-by-step explanation:
Factor the numerator (Grouping):
Two numbers that multiply to -30 and add to -7 = -3 and 10
Factor the denominator (Difference of Two Squares):
=
Factored Expression:
(x - 5) can be factored out of top and bottom as a hole-
Variable Restrictions:
Denominator ≠ 0
Vertical asymptote at x = -5 ⇒ x ≠ -5
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is the Pythagoras theorem?</h3>(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,
Therefore the ratios of sin x° and cos y° are 15/8.
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