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Mila [183]
3 years ago
12

A particle moves on the hyperbola xy=15 for time t≥0 seconds. At a certain instant, x=3 and dx/dt=6. Which of the following is t

rue about y at this instant?
Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

y is decreasing by 10units per second

Step-by-step explanation:

Given xy = 15

If x = 3

y = 15/3

y = 5

dx/dt= 6

Differentiating xy = 15 implicitly with respect to t using product rule

x

xdy/dt + ydx/dt = 0

Substitute the given value into the expression and solve for dy/dt as shown:

3dy/dt + 5(6) = 0

3dy/dt + 30 = 0

3dy/dt = -30

Divide both sides by 3

(3dy/dt )/3 = -30/3

dy/dt = -10

This means that y is decreasing by 10units per second (it is decreasing because of the negative sign)

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8 0
3 years ago
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the
melisa1 [442]

Answer:

C) 1/6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

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3 0
3 years ago
Yall please help me i need to turn this in asap​
Monica [59]

Answer:

A)9

Step-by-step explanation:

so if we see the figure the angle are vertical opposite

and so are equal ,

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3x=35-8

3x=27

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hope it helps

8 0
3 years ago
Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(7.5, 4
Oksana_A [137]
Hello,

To find the scale factor, we have to look at what's going on in the problem. 

In point A, we are converting from (5, 3) to (7.5, 4.5).

We can write and solve equation to find the change (scale factor)

5x = 7.5  and 3x = 4.5

If you solve either equation, you will find the scale factor is 1.5.

Good luck,
MrEQ
8 0
4 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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