Write an equation of the perpendicular bisector of the segment with endpoints G(5,-8) and H(7,4) Your answer should be in slope-intercept form. Please type your equation with NO SPACES and if the slope is not a whole number, please make sure it is written as a faction.

Step-by-step explanation:

In order to solve this problem we can start by finding the slope of the perpendicular equation. We can do this by finding the slope of the equation that passes through the two points provided by the problem.

so we input the two points (5,-8) and (7,4) to get:

so  

m=6

next, we find the negative reciprocal to get the slope of the perpendicular line, so we get:

Now we need to find one point that the line passes through.

we can find that point by using the midpoint formula:

so we get:

So the point is (6,-2)

So now we can find the equation of the line by using the point-slope form of the linear equation:

and substitute the point and the slope into the equation:

and solve for y:

which will be our answer.

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! )

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d