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krek1111 [17]
3 years ago
13

Select the correct answer. Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currentl

y 40 meters wide and 60 meters long. The new pumpkin patch will be 3x meters wider and 5x meters longer than that of the original pumpkin patch. Which of the following functions will give the area of the new pumpkin patch in square meters? A. f(x) = 15x2 + 420x + 2,400 B. f(x) = 15x2 C. f(x) = 15x2 + 2,400 D. f(x) = 15x2 + 380x + 2,400
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

Option D

f(x)=15x^{2}+380x+2400

Step-by-step explanation:

Original dimensions are as follows

Length=60 m

Width=40 m

Area=60*40=2400 m^{2}

New dimensions

Length=(60+5x) m

Width=(40+3x) m

Area=(60+5x)\times (40+3x)

Area=60(40+3x)+5x(40+3x)=2400+180x+200x+15x^{2} and collecting like terms we obtain

Area=15x^{2}+380x+2400

Therefore,

f(x)=15x^{2}+380x+2400

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Answer:

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y-intercept:  (0,4)

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The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

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Please help thank you!
kirill [66]
Question 1:

Look at the image. 

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Then, we find the perpendicular bisectors and find where they intersect.

They intersect on the circumcenter of the triangle.

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Question 2:

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Have an awesome day! :)

3 0
3 years ago
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