Answer:
the probability that she rolls a blue is 33.3% or 1/3. the probability that she lands heads is 50% or 1/2
Answer:
2(3x+6) = 6x+12
3(2x-6) = 6x-18
6x+12=6x-18
Subtract 12 from 18, which gives you:
6x=6x-6
Subtract the 6x on the opposite side of the equal side, and your answer is: x = -6
Answer:
10
Step-by-step explanation:
D=
D=
D=
D=
D=10
You have the value for y, so you substitute that equation for y, times three because there are three yS.
So you have: 2x + 3y = 10
2x + 3 x 2x + 4 or 2x + 3(3x + 4)
so the answer would be B, 2x + 3(3x + 4)
It is convenient to do part b first, then use that result to do part a.
b. For some pair of points (x1, y1) and (x2, y2), you want to find a point (a, b) such that (a, b) - (x1, y1) = (x2, y2) - (a, b). That is, the differences of coordinates from one end to the center are the same as the differences from the center to the other end.
Adding (a, b) to the above equation gives
2(a, b) - (x1, y1) = (x2, y2)
Adding (x1, y1) then gives
2(a, b) = (x1, y1) + (x2, y2)
Finally, dividing by 2 gives a formula for (a, b):
(a, b) = ((x1, y1) + (x2, y2))/2
The midpoint is the average of the end points.
a. Using the result from part b, the midpoint is
midpoint = ((2, 3) + (6, 7))/2 = (8, 10)/2
midpoint = (4, 5)
