Refer to the rectangle at the right. Suppose the side lengths are doubled. a. Find the percent of change in the perimeter b. Fin
1 answer:
Answer:
400% area and 200% perimeter
Step-by-step explanation:
Given is a picture of a rectangle. (i.e. opposite sides are equal and all angles equal to 90 degrees)
We know for any rectangle with length l and width, w
Area of rectangle = lw and
Perimeter of rectangle = 2(l+w)
Suppose the side lengths are doubled
Now length = 2l and width = 2w
New ARea =
i.e. 400% times is the new area.
New perimeter =
New perimeter is 200% times the old perimeter.
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Answer:
, which corresponds to answer D.
Step-by-step explanation:
Recall that the maximum or minimum of a parabola is always located at its vertex. Notice that all quadratic functions listed are given in what is called "vertex" form, since they explicitly show the vertex coordinates in their formulation:
where
, and
stand for the x and y coordinates respectively of the vertex.
Examining all four options, we notice that in all four cases listed, the is correct (equal to positive 9), so we proceed to examine what the
expression should look like for
:
Notice that when replace with "-3", we end up with a sign change:
Therefore we find that the last two options can be candidates. Then we recall that the question also states that this should be a minimum. Then, for a parabola to have a minimum, its branches must go upwards, and this corresponds to a case in which the factor (leading coefficient) multiplying (x-x_v)^2 is positive. So in looking for such condition, we find that the very last option is the only one that verifies such.
Then, is the option we select.