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3 years ago

14

Find the slope of the line that contains (−7,−1) and (−7,9).

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

Undefined

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-(-1))/(-7-(-7))

m=(9+1)/(-7+7)

m=10/0

undefined

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

2 years ago

Hulu had 258 no ad subscribers. The ratio of regular subscribers to no ad subscribers was 10:3. How many regular subscribers did

irina [24]

Answer:

860 regular subcribers

Step-by-step explanation:

258 / 3 = 86

86 * 10 = 860

Best of Luck!

4 0

2 years ago

Find positive square root of<br> 17<br> __<br> 25 17 by 25

LekaFEV [45]

Answer:

0.824

Step-by-step explanation:

hope it helps u....

8 0

2 years ago

Read 2 more answers

Plz I need the awnser to this

Scilla [17]

Answer:A

Step-by-step explanation: because it’s an even number

8 0

3 years ago

given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. 3/2 2/3 -3/2

svp [43]

2x-3y-5=0
2x-5=3y
3y=2x-5
y= $\frac{2}{3} x- \frac{5}{3}$
Gradient of line 1 = $\frac{2}{3}$
Gradient of line 2;
$m_{1} * m_{2} =-1$
$m_{2} * \frac{2}{3} =-1$
$m_{2} =- \frac{3}{2}$

5 0

3 years ago