Answer:
none of them
Step-by-step explanation:
Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.
line 1:
y – 1 = (x+2)
y = x + 3
slope of line 1 = 1
line 2:
y + 2 = –3(x – 4)
y + 2 =
-3*x + 12
y = -3*x + 10
slope of line 2 = -3
m1*m2 = 1*(-3
) = -3
They are not perpendicular
line 3:
y − 5 = 3(x + 11)
y − 5 = 3*x + 33
y = 3*x + 38
slope of line 3 = 3
m1*m3 = 1*3 = 3
They are not perpendicular
line 4:
y = -3x –
slope of line 4 = -3
m1*m4 = 1*(-3
) = -3
They are not perpendicular
line 5:
y = x – 2
slope of line 5 = 1
m1*m5 = 1*1 = 1
They are not perpendicular
line 6:
3x + y = 7
y = -3x + 7
slope of line 6 = -3
m1*m6 = 1*(-3
) = -3
They are not perpendicular
Answer:
1,712,304 ways
Step-by-step explanation:
This problem bothers on combination
Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;
48C5 = 48!/(48-5)!5!
48C5 = 48!/43!5!
48C5 = 48×47×46×45×44×43!/43!5!
48C5 = 48×47×46×45×44/5!
48C5 = 205,476,480/120
48C5 = 1,712,304
Hence this can be done in 1,712,304ways
Answer:
Step-by-step explanation:
A, and B
Answer:
Option C: -$1500 is the correct answer.
Step-by-step explanation:
Given that:
Total amount invested in business = $24,000
Loss suffered in first quarter = $4500
As the amount is shared by Brian, Steve and Rita equally, therefore,
Loss of each person = ![\frac{Loss}{Number\ of\ people}](https://tex.z-dn.net/?f=%5Cfrac%7BLoss%7D%7BNumber%5C%20of%5C%20people%7D)
Loss of each person = ![\frac{4500}{3} = \$1500](https://tex.z-dn.net/?f=%5Cfrac%7B4500%7D%7B3%7D%20%3D%20%5C%241500)
As loss is defined by decrease in the investment,
Loss of each person = -$1500
Hence,
Option C: -$1500 is the correct answer.