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Mathematics

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nirvana33 [79]1 year ago

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17.8 you’re welcome. hyrewwtjiolkmbvxzawryjkkbcddtukpppiu

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A rectangular corral is enclosed using 120 m of fencing. The corral uses the side of a barn as one of its sides, so fencing is r

Yuliya22 [10]

The dimensions would be 40 m by 40 m.

To maximize area and minimize perimeter we make the dimensions as close to equal as possible. Since we only need fencing on 3 sides, 120/3 = 40; we can use 40 for each side.

8 0

3 years ago

The points (10,14) and (35,49) form a proportional relationship. Find the slope of the line through the points. Then use t

Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5 or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446

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