Answer:
B. AA
Step-by-step explanation:
The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.
Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.
Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.
Rectangle Area = length • width
5x • (x + 2) = area
(5x^2 + 10x) is the area, with no further ways to simplify.
When x = -6 the denominator = 0
There is a hole in the graph at (-6,0)
Answer:
The standard deviation is of 8.586.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:

About 9% of the population has a particular genetic mutation.
This means that 
900 people are randomly selected.
This means that 
Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

The standard deviation is of 8.586.
Rate of change is slope
So change in y/change in x
150/3=50