Can someone please help?
2 answers:
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Answer:
Step-by-step explanation:
slopes and equations:
find the equation thur ( 6,1 ) and (-2,-3)
find the slope m
m = (y2-y1) / (x2-x1 )
m = (-3 - 1) / (-2 -6)
m = -4 / -8
m = 1/2
now use the point-slope formula with our known slope
y-y1 = m(x-x1)
y-1 = 1/2(x-6)
y - 1 = 1/2x -3
y = 1/2x -3 +1
y = x -2
Find the equation parallel to y = 3x + 6 and thur (0,1)
Parallel means the same slope, the slope is 3 for the equation above.
use the slope-intercept formula again with the point given and the slope 3
y-1 = 3(x -0)
y - 1 = 3x
y = 3x +1
Find the equations perpendicular to 2x + y = 8 and the same y intercept as 4y = x + 3.
put both equations into proper form
y = -2x +6
y = x +
perpendicular means reciprocal slope and change the sign, the 2nd equation has an intercept of , so
y = 1/2x +
there you go Amanda :)
Answer:
The probability of getting two numbers whose sum is greater than 9 and less than 13 is
Step-by-step explanation:
Given : A single 6-sided die is rolled twice.
To find : The probability of getting two numbers whose sum is greater than 9 and less than 13 ?
Solution :
The set of 36 equally likely outcomes,
1 2 3 4 5 6
1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
Getting two numbers whose sum is greater than 9 and less than 13
The favorable outcome is (4,6),(5,5),(5,6),(6, 4),(6, 5),(6, 6) = 6
The probability is given by,
Therefore, The probability of getting two numbers whose sum is greater than 9 and less than 13 is
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid coordinates are the average of the vertex coordinates.
(A+B+C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (15, 11)/3
The centroid is (5, 3 2/3).
_____
The graph shows the intersection of the medians. It is the centroid, (5, 3 2/3), as we calculated.
