PLEASE HELP!

Mathematics

1 answer:

solong [7]2 years ago

3 0

Answer:

x = -1

y = -2

Step-by-step explanation:

here's the solution in attached image .

Answer : second problem .

=》x = 8

=》y = 8

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The circle passes through the point (−2, 3) with a center of (-4,6). What is its radius?

Ganezh [65]

Answer:

radius = √13

Step-by-step explanation:

Forming the equation :

(x - h)² + (y - k)² = r²

(x, y) = point on circle
(h, k) = center of circle
r = radius

Solving :

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The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t),

pishuonlain [190]

Answer:

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Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

$\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}$

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