2 years ago

Which is the equation of a line that has a slope of Negative two-thirds and passes through point (–3, –1)?

Mathematics

1 answer:

weqwewe [10]2 years ago

5 0

Answer:

Y=2/3x+1

Step-by-step explanation:

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2 years ago

A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides is to be made of material t

Serhud [2]

Answer with explanation:

Let the length of rectangular fence = x meters

Let the width of the rectangular fence = y meters

Thus

$Area=x\times y=210ft^{2}...........(i)$

Now Let the total cost to construct the fence be 'C' can be obtained if we construct the shorter side with material with cost $12 per foot

$\therefore C=5\times (2y+x)+12\times x\\\\C=10y+17x...............(ii)$

Using value of x from the equation i into equation ii we get

$C=10y+17\times \frac{210}{y}$

hence to minimize the cost we differentiate both sides with respect to 'y' and equate the result to zero thus we get

$C=10y+17\times \frac{210}{y}\\\\\frac{dC}{dy}=\frac{d}{dy}(10y+\frac{3570}{y})\\\\0=10-\frac{3570}{y^{2}}\\\\\therefore y=\sqrt{\frac{3570}{10}}=18.894feet$

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Thus value of length = 11.114 feet and value of width = 18.894 feet.

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3 years ago

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