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).

can you me with homework?

step-by-step explanation:

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )