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3 years ago

What is the equation of a circle with its center at (10,−4) and a radius of 2?

Mathematics

1 answer:

Dmitrij [34]3 years ago

7 0

Equation of circle
(x-h)^2 + (y-k)^2 = r^2
=> (x-10)^2 + (y+4)^2 = 4 is the answer

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Which of these is a correct statement?

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2 years ago

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2 years ago

(3) Two people are at an elevator. At the same time one person starts to walk away from the elevator at a rate of 2 ft/sec and t

Gekata [30.6K]

Answer:

The rate at which the distance between the two people is changing 15 seconds later is 7.28 ft/sec.

Step-by-step explanation:

Here, we note the following

Let the person walking way fom the elevator be X

Let the other person going up in the elevator be Y

Therefore after 15 seconds, their positions will be;

For X, 2 ft/sec × 15 s = 30 ft away from the elevator

For Y, 7 ft/sec × 15 s = 105 ft up in the elevator

At that instant, the distance between them is given as

d² = x² + y²

= 30² +105² = 11925 ft²

d = √11925 ft² = 109.202 ft

The rate of change of the distance between the two peopl, X and Y is given as

$\frac{dd^2}{dt} = \frac{dx^2}{dt} + \frac{dy^2}{dt}$

Therefore, $2d\frac{dd}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}$ or $d\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}$

Since $\frac{dx}{dt}$ is given as 2 ft/sec and $\frac{dy}{dt}$ = 7 ft/sec

Then $d\frac{dd}{dt} = 30 \times 2 + 105 \times 7 = 795\\$

$\frac{dd}{dt} = \frac{795}{109.202 } =7.28 ft/sec$

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3 years ago

Read 2 more answers

PLEASE HELP, DUE TOMORROW

pashok25 [27]

So hope it goes well but the answer is 11

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2 years ago

What is .9 times 10 to the -6th power?<br><br><br><br> i really suck at math haha

dexar [7]

0.0000009

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3 years ago