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Dmitrij [34]
2 years ago
15

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Mathematics
1 answer:
weeeeeb [17]2 years ago
8 0

Answer: y= (1/4)x

Step-by-step explanation: Best guess given screenshot, matched with desmos.

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A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas
kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

y= 4\sqrt{5x+11} .

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} }  5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\

From the question, we have:

(x, y) =  (5,24)

Substitute 5 for x and dy / dx = 2

\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

Read more about rates of change at:

brainly.com/question/13103052

#SPJ1

8 0
2 years ago
The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?
Naddika [18.5K]

Answer:

  50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

  Sin = Opposite/Hypotenuse

  sin(60°) = (kite height)/(100 m)

  kite height = (100 m)·sin(60°) = (100 m)(√3)/2

  kite height = 50√3 m ≈ 86.6 m

7 0
3 years ago
I’m stuck, please help ASAP. Will give brainliest!
ss7ja [257]

Answer:

C) 35 Degrees

Step-by-step explanation:

To find the degree of an exterior angle, subtract the larger arc, DE, degree by the smaller arc, BC, and then divide by 2! Which is 35. 118-48/ 2 = 35.

7 0
3 years ago
The first person to answer correctly gets BRAINLIEST!. (20 POINTS)
asambeis [7]

Answer:

y = 288 - 60x

Step-by-step explanation:

6 0
3 years ago
What is 1/4 to the power of 3
Alex Ar [27]

Answer:0.015625

Step-by-step explanation:

3 0
1 year ago
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