Question 1: Option B:
Question 2: Option D:
Solution:
Question 1:
The point on the given line are (2, 4) and (4, –2).
Slope of the given line:
m = –3.
Slope of perpendicular line = –1 ÷ Slope of the given line
Slope of perpendicular line =
Perpendicular line passing through the point (3, 1).
Slope -intercept form using point slope formula,
Option B is the correct answer.
Question 2:
The point on the given line are (0, –3) and (2, 3).
Slope of the given line:
m = 3.
Slope of parallel lines are equal.
Slope of parallel line =3
parallel lines passing through the point (–1, –1).
Point slope formula:
Option D is the correct answer.
Answer
Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
Where
And it is calculated as:
From the table:
Highest = 77 and Least = 21
So:
B is calculated as:
The period is 12 i.e. 12 months
So:
C is calculated as:
Lastly, D is calculated as:
So:
So, the function is:
Answer:
Option A, C and D are correct.
Step-by-step explanation:
Option A is correct because if we take example of we get:
1,2,1
1,3,3,1
1,4,6,4,1
So we can see that either we read left to right or right to left we are getting same row
Option B is not correct because When we take power zero it will occupy first row hence, is not given by nth row.
Option C is correct because adding adjacent terms on a will give us the term directly below look at the example in option A.
Option D is correct because nth row will give coefficients in the expansion of (x + y) n-1 since, zero will occupy first row hence, nth row will be n-1.