First, we obtain the gradient (slope) of the first parallel line

Recall that since both lines are parallel, we have that,

Thus

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)
Using
Answer:
Last answer choice
Step-by-step explanation:
The AAS congruence theorem uses two adjacent angles, followed by a side length on the side (not in between the angles.) Therefore, the first answer is ruled out (because it deals with angles and not sides), and the second answer is ruled out because it involves side lengths between angles. LP=MO may be true, but it does not compare the two triangles that we are interested in. However, the last answer choice is correct, because a midpoint divides a line exactly in half, meaning that both halves are the same length and therefore congruent. Therefore, the last answer choice is correct. Hope this helps!
So for this function we will be using the quadratic formula, which is
, to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).
Answer:
By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 650 and a standard deviation of 24.
This means that
.
Sample of 36:
This means that 
What is the shape of the sampling distribution you would expect to produce?
By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.
Answer: 42/13
Step-by-step explanation: Multiply everything by 7 to eliminate the fraction:
k+ 21 - 14k = -21
Isolate the variable:
k - 14k = -21-21
13k= -42
divide the sides by -13.
42/13