Answer:
Step-by-step explanation:
Permutation is the ways in which a fixed group or members that can be arranged or ordered and combinations are used when a smaller group has to be chosen from a larger group.
Examples:
<u>Permutation: </u>How many unique combinations of the word MAHNOOR can be formed when the letters will be scrambled
2. In what order or arrangements five people can be seated in the front row?
The number of people are fixed, we have to find the order.
<u>Combination:</u> Choosing two cards from a deck of 52 cards. We are choosing a small group from a larger group of all cards.
2. Choosing 4 students from a class to take part in the competition.
The selection can be made in multiple ways ..
If the line is perpendicular, then as a rule the gradient of the perpendicular line will be the negative inverse of the gradient of the line given.
Therefore the gradient of the perpendicular line would be 1/2
so now just substitute in the equation of a line (y=mx+c) where y and x are given by -3 and 9, and your new m=1/2
Hope this helps
Answer:
300 cubic inches
Step-by-step explanation:
The volume of the top triangular prism is 1/2(area of base)(height)
1/2(50)(6)
1/2(300)
150 cubic inches
The volume of the bottom triangular prism is the same as the top, 150 inches., because it has the same measurements.
Add the two volumes together to get 300 cubic inches, which is the volume of the figure.
Answer:
-18
Step-by-step explanation:
k ≥ −18
Given:
The equation is:
To find:
The slope intercept form of the given equation.
Solution:
Slope intercept form of a line is:
Where, m is slope and b is y-intercept.
We have,
It is not in the slope intercept form.
We need to isolate variable y to get the slope intercept form.
The given equation can be rewritten as:
Therefore, the slope intercept form of the given equation is .
