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hoa [83]
2 years ago
7

Can you guys help please im so confused

Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

A = x \cdot y

- The length of the fencing is 80 meters, so

2y + x = 80

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

y = 40 - \frac12 x

Then substitute for y in the first:

A = x (40 - \frac12 x) = 40x - \frac12x^2

b) To maximize A, find the zero of the first derivative:

A'(x) = 40 - x = 0 \implies x=40

So y = (80-40)/2 = 20 meters.

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If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
svetlana [45]

Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

5 0
3 years ago
What is the correct answer?
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5 0
3 years ago
**WILL GIVE THE BRAINLIEST! &amp; LIKE**
Alecsey [184]

Answer:

n = -2

Step-by-step explanation:

add 7 to both sides

1+8n = -15

subtract 1 from both sides

8n = -16

divide both sides by 8

n = -2

8 0
3 years ago
Read 2 more answers
What has a greater percent of increase? 5 bonus points on 50 point exam or 5 bonus points on a 100 point exam?
yanalaym [24]
5 bonus on 50 is 5/50 *100%=10%
5 bonus on 100 is 5/100 *100%=5%
Answer: for 50 points.
8 0
3 years ago
Read 2 more answers
HELP ME I DON'T UNDERSTAND THIS :(
andriy [413]

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{AD}{WZ} = \frac{CD}{YZ} , substitute values

\frac{10}{46} = \frac{5}{YZ} ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

3 0
3 years ago
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