Lines are neither perpendicular nor parallel.
Step-by-step explanation:
Step 1:
In equation 1, Y = 5X + 7
In equation 2, Y = -2X -5
Step 2:
Slope Intercept form Y =mX +c
Where m = Slope
Slope of line 1 = 5
Slope of line 2 = -2
m1 is not equal to m2. Hence it is not parallel.
m1 × m2 is not equal to -1. Hence they are not perpendicular.
Answer:
Step-by-step explanation:
= 91*
=
Answer: 7740
Step-by-step explanation: take 180(n-45) and n represents the sides
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
I say that answer would be C:
2 years of lost wages
(45K+45K) = 90K
TOTAL cost of school = 30K
sum of investment
(90K+30K) = 120K
5 years to recover investment
(120K/5yrs) = 24K per year
Salary plus amount required to recover investment
<span>(24K+45K) = 69K
I hope my answer has come to your help. God bless and have a nice day ahead!</span>