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3 years ago

If M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

work is attached and shown

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3 years ago

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2 years ago

Evaluate the expression three squared times five cubed.

Margaret [11]

Answer:

<em>The expression is equivalent to 1,125</em>

Step-by-step explanation:

<u>Arithmetic Expressions</u>

It's given the word expression: "three squared times five cubed". It can be written in math form as:

$3^2\times 5^3$

Expanding the powers:

$3^2\times 5^3=3*3*5*5*5 = 1,125$

The expression is equivalent to 1,125

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3 years ago

Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.

GREYUIT [131]

Answer:

$y=\dfrac{1}{1-Ke^{-t}}$

Step-by-step explanation:

Given

The given equation is a differential equation

$\dfrac{dy}{dt}=y-y^2$

$\dfrac{dy}{dt}=-(y^2-y)$

By separating variable

⇒ $\dfrac{dy}{(y^2-y)}=-t$

$\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt$

Now by taking integration both side

$\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt$

⇒ $\ln (y-1)-\ln y=-t+C$

Where C is the constant

$\ln \dfrac{y-1}{y}=-t+C$

$\dfrac{y-1}{y}=e^{-t+c}$

$\dfrac{y-1}{y}=Ke^{-t}$

$y=\dfrac{1}{1-Ke^{-t}}$

from above equation we can say that

When t will increases in positive direction then $e^{-t}$ will decreases it means that ${1-Ke^{-t}}$ will increases, so y will decreases. Similarly in the case of negative t.

4 0

3 years ago