One endpoint of a line segment is (8, −1). the point (5, −2) is one-third of the way from that endpoint to the other endpoint. find the other endpoint

The other endpoint is (-4, -5)

Step-by-step explanation:

We know the formula for the coordinates of the point dividing the line segment in the ratio of a : b is

x = x' +

y = y' +

Now we plug in the values of endpoints (8, -1) and (x, y) with a point (5, -2) dividing the segment in 1 : 3 ratio.

5 = 8 +

5 - 8 =

(x - 8) = -3×4 = -12

x = -12 + 8 = -4

Similarly, -2 = -1 +

-2 + 1 =

y + 1 = -1(4)

y + 1 = -4

y = -1 - 4 = -5

Therefore, another endpoint of the segment is (-4, -5).

1696 hundred thousand

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12