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Mila [183]
2 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]2 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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121/132 in simplest form
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Answer:

11/12

Step-by-step explanation:

121 /132

Divide the top and bottom by 11

121/11 =11

132/11 =12

121/132 =11/12

8 0
3 years ago
Is (a + b) and (a - b)? perfect square trinomials?<br> O True<br> O False
lisabon 2012 [21]

Answer:

False

Step-by-step explanation:

Pos and negs cannot be perfect square trinomials

8 0
2 years ago
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Find the x-intercepts of the parabola with
12345 [234]

Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form:  y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

⇒ 0 = a(3)² - 18

⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

                                 2(x + 3)² - 18 = 0

Add 18 to both sides:     2(x + 3)² = 18

Divide both sides by 2:    (x + 3)² = 9

Square root both sides:      x + 3 = ±3

Subtract 3 from both sides:  x = ±3 - 3

so x = 3 - 3 = 0  

and  x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

8 0
2 years ago
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Vikki [24]
Hey there, Damonealy!

The correct answer should be D since you are talking about multiple amount of data. As you can see, question number 1-3 are talking about the age of a single person but question D is talking about the ages of multiple students which can be used in a statistic.

Thank you for using Brainly.
See you soon!
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A......B......C.......or D
IrinaVladis [17]
I think the answe is a
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3 years ago
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