Answer:
Step-by-step explanation:
It is given that, 
We need to find the value of 
As
Solving LHS
Now comparing the coefficients of 
In LHS the coefficient of is 25
In RHS the coefficient of is
It implies that,
So, the value of is 25.
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Given two points (x₁,y₁) and (x₂,y₂) the midpoint would be:
M=((x₁+x₂)/2 , (y₁+y₂)/2)
In this case, the points would be: (-8,-7) and (-7,-8); therefore:
M=((-8-7)/2 , (-7-8)/2)=(-15/2,-15/2)
Answer: C.) (-15/2 , -15,2)
Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
where,
=》
=》
=》
or
=》
Answer:
B. 192.5 ft³
Step-by-step explanation:
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
