9514 1404 393
Answer:
B, E
Step-by-step explanation:
You are give a table of values of x and f(x). You are told that g(x) = (1/2)f(x), and you are asked for points (x, g(x)) that match that description.
It can be useful to mentally, or actually, add a third column to the table that shows the values of g(x). Each of those is half the corresponding value of f(x), because that is what g(x) = (1/2)f(x) means.
Having done that, you can then compare the ordered pairs (x, g(x)) to those in the answer list to see which ones match. The ones that match are highlighted in green in the attachment:
(-1, -2) . . . . . . 2nd choice
(6, 3/2) . . . . . 5th choice
1/2 would not be a useful benchmark to compare these 2 fractions because both of them are greater than half. The benchmark fraction 1/2 is most useful when one fraction is less than half and the other more than 1/2. 5/8 is more than 4/8(1/2), and 9/10 is more than 5/10(1/2).
The answer is D. += up or right ; -= down or left
With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.
We need to determine the slope of each side, using the formula,
<u>Slope of AB</u>
<u>Slope of BC</u>
<u>Slope of CD</u>
<u>Slope of AD</u>
<u>Verify Parallel sides</u>
If the quadrilateral is a rectangle, then opposite sides should have the same slope. But
<u>Verify Perpendicularity</u>
And also the product of slopes of all sides with a common vertex should be -1. But
Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle
