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3 years ago

9

Keenan travels 20 miles per hour. How long does it take for him to travel 5 miles?

2 answers:

Paladinen [302]3 years ago

8 0

Answer:

it takes him 4 hours to travel 5 miles

Step-by-step explanation:

liubo4ka [24]3 years ago

4 0

It takes Keenan 4 hours to travel 5 miles

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Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

Solve the following system of equations using the substitution method.

Novay_Z [31]

X=2y
2x+5y=9

substitute the x=2y into the second equation
2(2y)+5y=9
multiple the 2y by 2. 4y+5y=9
combine like terms. 9y=9
divide the 9 out from both sides. y=1
plug the y back into the first equation
x=2(1)
multiply. x=2

your answer is: x=2
y=1

7 0

3 years ago

A swearer cost $20 but the price was reduced to $ 12 what was the price after the price was reduced

bixtya [17]

Answer:

$20-$12=

Step-by-step explanation:

20-12=8

5 0

3 years ago

Find the volume of the figure 14cm 8cm 10cm 10 cm 10 cm 8 cm

IgorC [24]

Answer:

What is the figure?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the x-coordinate of the point of intersection for the two lines below?

Brut [27]

Answer:

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

Step-by-step explanation:

As we know that the solution of the system of equations is the point of intersection. Let us solve it.

Given the system of equations

$\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}$

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

$2x-5y=-3$

$-$

$\underline{2x+y=-9}$

$-6y=6$

so

$\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}$

solving for y

$-6y=6$

Divide both sides by -6

$\frac{-6y}{-6}=\frac{6}{-6}$

$y=-1$

$\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1$

$2x-1=-9$

$2x=-8$

Divide both sides by 2

$\frac{2x}{2}=\frac{-8}{2}$

$x=-4$

Thus, the x-coordinate of the point of intersection for the two lines below will be:

$x=-4$

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

4 0

3 years ago