Answer: A) 1716 B) 1235520
Step-by-step explanation:
- If order doesn't matter , then we use combinations, where the number of combinations of selecting r things from n is given by :-
- If order matters , then we use permutations, where the number of permutations of selecting r things from n is given by :-
Given, Total distinct letters = 13
To choose = 6 letters
A) Number of ways to choose (if order does not matter)=
B) Number of ways to choose (if order matters)=
Hence, A) 1716 B) 1235520
Answer:
x = 1
Step-by-step explanation:
Solve for x:
-103 x - 6 = -6 x - 103
Add 6 x to both sides:
6 x - 103 x - 6 = (6 x - 6 x) - 103
6 x - 6 x = 0:
6 x - 103 x - 6 = -103
6 x - 103 x = -97 x:
-97 x - 6 = -103
Add 6 to both sides:
(6 - 6) - 97 x = 6 - 103
6 - 6 = 0:
-97 x = 6 - 103
6 - 103 = -97:
-97 x = -97
Divide both sides of -97 x = -97 by -97:
(-97 x)/(-97) = (-97)/(-97)
(-97)/(-97) = 1:
x = (-97)/(-97)
(-97)/(-97) = 1:
Answer: x = 1
The domain of the function is \[A \ge0\] If A is negative we get an imaginary number for the radius. This makes sense because the area of a circle cannot be negative.
Answer: a and d
Step-by-step explanation:
(to find all points of discontinuity, set denominator equal to zero and solve)
(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)
-2 + -5 = -7
-2(-5) = 10
-2 and -5 are the two numbers
These are the steps:
1. Find area of the two triangles.
2. Find area of the rectangle.
3. Add them up.
<u>Step 1: Find area of the two triangles:</u>
Formula : Area of triangle = 1/2 x base x height
Both triangles are identical.
Height = 5m
Base = 6 + 6 + 12 = 24
Area = 1/2 x 24 x 5 = 60 m²
<u>Step 2: Find the area of the rectangle:</u>
Formula : Area = Length x Width
Area = 12 x 7 = 84 m²
<u>Step 3: Find the total area:</u>
60 + 84 = 144 m²
Answer: 144 m²
