Answer:
Step-by-step explanation:
Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9
Answer:
4.
°
Step-by-step explanation:
Given:
The tangent of the angle is given as:

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.
-212° when measured from counter clockwise direction will be equal to:

Therefore,
= 
Now, we have the identity for tan as:

Here, 
Therefore,

Hence,
=
=
°
Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
62% of the voters are Democrats
This means that 
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So


0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Answer:
I believe it's B
Step-by-step explanation:
On a coordinate plane, a parabola opens up and goes through (negative 3.75, 0), has a vertex at (negative 2, negative 3), and goes through (0, 1).
Hello there!
2(x - 3) = 2x + 5
Let's start by using the distributive property for the left side.
(2)(x) + (2)(-3) = 2x + 5
2x - 6 = 2x + 5
Then we need to add 6 to both sides
2x - 6 + 6 = 2x + 5 + 6
2x = 2x + 11
We need to transfer 2x on the left side, we gonna do that by subtracting 2x from both sides
2x - 2x = 2x + 11 - 2x
0 = 11
Thus,
There are no solutions.
I hope this helps!
Good luck with your career!