Answer:
The parallel line has slope 
The perpendicular line has slope 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope.
Parallel lines:
Parallel lines have the same slope.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
We have the following line:
Placing it in the general format
So this line has slope
Parallel line:
Same slope, so the parallel line has slope
Perpendicular line:
Multiplication of the slopes is -1. So
The perpendicular line has slope
Answer: the answer is (c)
Step-by-step explanation:
The answer would be. B) 2V5 units
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
