Answer:
The answer is A.
Step-by-step explanation:
A sample space is the list of all possible outcomes. Only answer A displays all of them. In B, 2 wins/loss combinations are not possible if you play three games. The same goes for C and 4 win/loss combinations. While D has some possible outcomes, it does not list them all.
Answer: A. The slope is 
.
Step-by-step explanation:
The slope of a line helps to specify the direction of the line.
The slope of a line that passes through (a,b) and (c,d) is given by :-
Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-
Hence, the slope is .
Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7
guajiro [1.7K]
I'll do the first one to get you started.
Find the slope of the line between R (6,-2) and S (-1,8) to get
m = (y2-y1)/(x2-x1)
m = (8-(-2))/(-1-6)
m = (8+2)/(-1-6)
m = 10/(-7)
m = -10/7
The slope of line RS is -10/7
Next, we find the slope of line DF
m = (y2 - y1)/(x2 - x1)
m = (4-11)/(11-(-1))
m = (4-11)/(11+1)
m = -7/12
From here, we multiply the two slope values
(slope of RS)*(slope of DF) = (-10/7)*(-7/12)
(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)
(slope of RS)*(slope of DF) = 10/12
(slope of RS)*(slope of DF) = 5/6
Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.
I'll let you do the two other ones. Let me know what you get so I can check your work.
Answer:
C and E
Step-by-step explanation:
-2/3 = -0.66
so hence forth
2/3 = 0.66
- (2/3) = -0.66 and
2/-3 = -0.66
