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docker41 [41]
3 years ago
6

Write an equation for a line perpendicular to y=5x+2 and passing through the point (-5,5)

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
Kekejsdssssnmsksjebsbsbfjxjeobtidixpsnvrodnxvsujensksjsjsisjsjsjsjs
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step-by-step explanation:

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Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
4 years ago
(x-3) (x-4) polynomial
Debora [2.8K]

Answer:

x^{2} -7x +12

Step-by-step explanation:

Using the Foil method

you multiply x times x and get x^{2}

Then you multiply -4 times X and get -4x

Then you multiply -3 times X and get -3x

then you add -4 and -3 together and get -7x

Lastly you multiply -4 and -3 and get 12

And there you have it

x^{2} -7x +12

8 0
3 years ago
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