The change in x, as we move from left to right, is 7-4, or +3.
The corresponding change in y is -2i-2i = -4i.
Use the Pythagorean Theorem to find the length of this line segment:
d = distance from 4+2i to 7-2i= sqrt( [3]^2 + sqrt( [-4]^2 ) = sqrt(9+16) = 25 (ans.)
Answer:
38237329680
Step-by-step explanation:
Use long addition to evaluate.
Answer: a. 30x^2 − 26x − 12
First write the equation in a form to better help visualize.
(5x - 6)(6x + 2)
Then use distributive property on the second binomial from the first binomial. <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>
5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)
Then multiply 5x by 2
5x * 2 = 10x
Then you repeat the process but with -6 instead of 5x.
-6 * 6x = -36x (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)
-6 * 2 = -12
Now take all of your answers and put them into 1 equation by the order you did them.
30x^2 + 10x - 36x -12
But wait! The answer can still be simplified. All you have to do is combine like terms. <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>
30x^2 + (10x - 36x) - 12
30x^2 - 26x - 12
Looking at the purple area, we see that 1≤y≤3. So we can immediately reject answers (d), (a).
Since the purple area is to the right of and above the sloping line, we choose answer (c).
The correct answer to the whole problem is (c).
Answer:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.
