Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
Melissa rolls 2 fair dice. The probability of getting a total of 12 is
<u>Solution:</u>
Given, Melissa rolls 2 fair dice and adds the results from each.
We have to work out the probability of getting a total of 12
<em><u>The probability of an event is given as follows:</u></em>
Now, total outcomes = 6 for 1st die 6 for 2nd die = 6 6 = 36.
Now, favourable outcomes = 1 [ since, we have to get a sum of 12, and only one case exists i.e. 6 + 6]
Hence the probability of getting a total of 12 is
Answer:
I understand it very well