The slope of a line is simply a ratio of the change in y-value to the change in x-value
Change in y = y₂ - y₁
= 12 - (-6) = 18
Change in x = x₂ - x₁
= 6 - 3 = 3
Ratio of change in y to change in x = 18/3 = 6
The slope is 6
There are 4 months that are 30 days long and 7 months that are 31 days long.
So therefore the probability the the month chosen has less than 32 days is: 7/12. 7 out of 12 months
A_{5} = a_{1} + 4d = -5 + 4 x 6 = 19
The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
<h3>How to determine the combination</h3>
Note that the formula for combination is given as;
Combination = 
From the information we have that;
There are 28 questions in the pool
The test should have a total of 10 questions;
6 difficult , 10 average and 12 easy questions
We are asked to determine the combination of;
3 difficult questions
4 average questions
3 easy questions
6C3 = 
6C3 = 
6C3 = 20
10C4 = 
10C4 = 
10C4 = 210
12C4 = 
12C4 = 220
The number of ways of constructing the questions is
= 20 × 210 × 220
= 924, 000 ways
Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
Learn more about combination here:
brainly.com/question/4658834
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Answer:
2x^2y^2*(32y+1)
Step-by-step explanation: