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3 years ago

How many solutions does the system have?

Mathematics

2 answers:

Natalka [10]3 years ago

5 0

The answer would be B

JulijaS [17]3 years ago

4 0

Answer:

the answer should be no solution.

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

65x = 12.1 what does x equal? help quick

Bogdan [553]

Answer:

$65x = 12.1 \\ x = \frac{12.1}{65} \\ x = 0.186$

8 0

3 years ago

Read 2 more answers

The temperature has been going down at a constant rate. in 5 hours it went down 15 degrees. which expression best shows the temp

V125BC [204]

Answer:

Step-by-step explanation:

-15 divided by 3

4 0

3 years ago

Read 2 more answers

If y varies inversely as x and y = 18 when x = 4, what is y when x = 24

Nady [450]

Well, you must first do your equation k=y/x so k= 18/4 or 9/2
now you use the equation y= kx or y= 9/2 times 24... 9/2 times 24 is 108 so y=108

3 0

3 years ago

Find the distance between the points (0,15) and (8,0).

kodGreya [7K]

Answer:

the distance i believe between the points are

(1,1) , (3,3)

(7,9) , (0,3)

(1,2) , ( 3,9)

Step-by-step explanation:

5 0

3 years ago