Which of the following functions has a diagonal asymptote? A.y=x+1/x-8 B.y=(x+4)(x-1)/x(x-7) C.y=1/x-5 D.y=x(x-3)/x+2
2 answers:
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Answer:
C
Step-by-step explanation:
Calculate the values of both r and s, that is
= 7 ( multiply both sides by 2 )
5 + r = 14 ( subtract 5 from both sides )
r = 9
and
= 3 ( multiply both sides by 2 )
3 + s = 6 ( subtract 3 from both sides )
s = 3
Hence
=
= 6 → C
Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
