Answer:
(6,0)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).
In this case m will be 2 and n will be 3 as the ratio is 2:3
Using all these values we can find the coordinates of point Q

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)
Answer:
f(0) = g(0)
Step-by-step explanation:
- if a function h(x) passes through [a,b] then it can be said that h(a)=b.
- given that, g(x) passes through (-2,0) and (0,4)
so, g(-2)=0, g(0)=4.
- f(x) passes through (0,4) and (2,0)
so, f(2)=0, f(0)=4.
- so, first option is correct.
Answer:
158
Step-by-step explanation:
5*8=40
8*3=24
3*5=15
Each of these measurements gets added twice, becasue there are 6 faces on a rectangular prism.
40 + 40 + 24 + 24 + 15 + 15 = 158
the probability is 5 out of 20