Part A
The first thing we must do in this case is to hide the slopes of each line.
line m:
m = (- 4-3) / (0 - (- 4))
m = -7 / 4
Line n:
n = (- 2-2) / (3-1)
n = -4 / 2
n = -2
Answer:
Lines m and n are not parallel because their slopes are different.
Part B:
We look for the slope of the K line:
k = (1 - (- 3)) / (4 - (- 3))
k = 4/7
We observe that it is true that:
k = -1 / m
Answer:
The lines are perpendicular.
3 * 1 * -1 because 3 times one is 3 and that times a negative turns it into a negative. ( positive * negative = negative)
Answer:
Step-by-step explanation:
B
Answer:
Her score in the first game was 173.
Step-by-step explanation:
Sue's total score for the 3 games = 3*162 = 486 points.
Let her score in the first game be x points. Then in the second game she scored (x - 10) and in the third, ( x - 10 - 13) points:
x + (x - 10) + (x - 23) = 486
3x - 33 = 486
3x = 519
x = 173 (answer).
Answer:
p=-2
Step-by-step explanation:
24p+12-18p=10+2p-6
Subtract what is to the right of the equal sign from both sides of the equation.
24p+12-18p-(10+2p-6)=0
Then pull out the like terms(factors)
Which is: 4p+8
=4(p+2)
Put that to 0 and 4=0 which is not a solution because it's a non-zero constant.
So now put p+2=0, subtract by 2 on both sides and the 2 cancels out and on the right side you have -2
p=-2