Answer:
Step-by-step explanation:
Given:
The attachment completes the question
From the attachment, the slope of the line was calculated as:
This step is inaccurate because the slope of a line is calculated using
Which gives
The line equation is then calculated using:
Substitute values for m, x1 and y1
Open bracket
Make y the subject
Answer: 1:1
Step-by-step explanation:
Let r be the radius and h be the height of a cylinder.
Formula: Curved surface area of cylinder =
Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be
Now, new surface area =
Ratio of curved surface areas :
Hence, the ratios of their surface areas = 1:1 .
i) The given function is
The domain is all real values except the ones that will make the denominator zero.
The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.
iii) If we equate the numerator to zero, we get;
This implies that;
iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is .
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
