Answer:
24 Combinations Total
Step-by-step explanation:
METHOD 1 (no advanced math skills needed)
i. Number the friends: a, b, c, and d
ii. List all possible combinations...
- a b c d
- a b d c
- a c b d
- a c d b
- a d b c
- <u>a d c b</u>
- b a c d
- b a d c
- b c a d
- b c d a
- b d a c
- <u>b d c a</u>
- c a b d
- c a d b
- c b a d
- c b d a
- c d a b
- <u>c d b a</u>
- d a b c
- d a c b
- d b a c
- d b c a
- d c a b
- <u>d c b a</u>
To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.
METHOD 2
n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24
Answer:
x= 14 y= 13
Step-by-step explanation:
Use substitution or elimination
Answer:
Michelle’s house is 44 miles to Richard’s house.
Step-by-step explanation:
The distance can be found out by using the trigonometric ratio of sine theta
Sine theta= Perpendicular/ Hypotenuse
We know the values of hypotenuse and theta
Sine 30 = 22/ Hypotenuse
Hypotenuse= 22/ sine 30
Hypotenuse= 22/0.5
Hypotenuse = 44
The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.
G (x) = |x + 10| (if you mean horizontal translation to the left)
or g (x) = | x | + 10 (vertical translation 10 units up)
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
