Answer:
<-7,-3>
Step-by-step explanation:
To write RS in component form we need to know how far to move over horizontally and then how many to move vertically.
Since horizontal movement is the x values, we subtract the x values of R and S first.
0 - 7 = -7
Since vertical movement is in the y values we subtract those next.
5 - 8 = -3
So written in component form we have <-7,-3>
Answer:
C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97
Step-by-step explanation:
The given data is
x` Std. Dev
R. disagrees 4.16 0.854
P. disagrees 3.82 0.967
From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854
while
the P. disagrees has a mean of 3.82 and standard deviation of 0.967.
Same figures are given only in option C because
Rounding 0.854 gives 0.85
Rounding 0.967 gives 0.97
So only option C is the best choice.
C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97
Answer:
x = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the triangle and equate to 180, that is
10x - 4 + 8x + 3 + 91 = 180
18x + 90 = 180 ( subtract 90 from both sides )
18x = 90 ( divide both sides by 18 )
x = 5
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
(6, -2)
Step-by-step explanation:
The midpoint of the segment RS is point M (5, 3). Therefore, the average of the x coordinates of R and S is 5, and the average of the y coordinates of R and S is 3. The x coordinate of R is 4. For 4 and the x coordinate of S to have an average of 5, the x coordinate of S must be 6. Therefore, our point is of the form (6, y). For 8 and the y coordinate of S to have an average of 3, the y coordinate of S must be -2. Therefore, our answer is (6, -2)
