Answer:
A=30 in
Step-by-step explanation:
Solution
A=bh=5·6=30
Let
and
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function
subject to the constraint
.
From the constraint, we find
so we can write the area function independently of
:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of
.
Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the translations are given as follows:
- 8 units right, hence x -> x + 8.
- 7 units down, hence y -> y - 7.
Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
More can be learned about translation concepts at brainly.com/question/28351549
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Answer:
108
Step-by-step explanation:
