Perpendicular means that the slopes are negartive inverses, aka
slope1 times slope2=-1
y=mx+b
slope=m
y=-1/2x-2
slope=-1/2
we need to find negative inverse
-1/2 times what=-1
answer is 2
y=2x+b
input the point (2,-2) to find b
(x,y)
(2,-2)
-2=2(2)+b
-2=4+b
minus 4 from both sides
-6=b
y=2x-6
the equtaion is y=2x-6
Answer:

Step-by-step explanation:
The given equation is

For this function to have an inverse, we must restrict the domain, say 
We interchange x and y to get,

We now make y the subject to get;


We divide through by 16 to get;

We now take the square root of both sides to get;


Since
, the inverse function is

Let the legs of the triangle be a and b, and the hypotenuse c.
Your first instinct might tell you to use the Pythagorean theorem to go about solving this because

. This works, but it is slow.
The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
Answer: The mean number of checks written per day 
Standard deviation
Variance 
Step-by-step explanation:
Given : The total number of checks wrote by person in a year = 126
Assume that the year is not a leap year.
Then 1 year = 365 days
Let the random variable x represent the number of checks he wrote in one day.
Then , the mean number of checks wrote by person each days id=s given by :-

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. 
Standard deviation : 
Answer:
tanx + cotx = 
Step-by-step explanation:
<u><em>Explanation</em></u>
Take R.H.S = 
= 
= 
= 
= tanx + cotx
tanx + cotx = 