Answer: (A) vertical asymptote: x = 2, horizontal asymptote: y = 1
<u>Step-by-step explanation:</u>
<u>Vertical Asymptote</u> is the restriction on the x-value. The denominator cannot be zero, so x - 2 ≠ 0 ⇒ x ≠ 2
The restricted value on x is when x = 2 <em>which is the vertical asymptote</em>
<u>Horizontal Asymptote</u> (H.A.) is the restriction on the y-value. This is a comparison of the numerator (n) and denominator (m). There are 3 rules that will help you:
- n > m No H.A. (use long division to find slant asymptote)
- n = m H.A. is the coefficient of n divided by coefficient of m
- n < m H.A. is 0
In the given problem, n < m so y = 0, however there is also a vertical shift of up 1 so the H.A. also shifts up. This results in H.A. of y = 1
Answer:
Number of minutes per lap = 2.25 minute
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 33.75 minutes
Step-by-step explanation:
Given:
Number of laps = 4
Time taken = 9 min
Computation:
Number of minutes per lap = 9 / 4
Number of minutes per lap = 2.25 minute
Number of lap per minute = 4 / 9
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 15 x 2.25
Time taken for 15 lap = 33.75 minutes
Answer:
x=22
Step-by-step explanation:
4x+2+x+3x+2=180
collect like terms
4x+x+3x=180-(2+2)
8x=180-4
8x=176
make x the subject of the formula
x=176/8
x=22
Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.
First step is to find the gradient.
m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4
We have y = (13/4)x + c
Now we replace one of the coordinates to find c. Let’s replace (4,-8)
We have: -8 = (13/4)*4 + c
-8=13+c
c=-8-13= -21
Therefore, equation of line is:
y = (13/4)x - 21
If you estimate, its around 5
