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3 years ago

What is an equation of the line that passes through the point

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

Answer:

y=-5x-4

Step-by-step explanation:

y=mx+b

-5=-5m+b

-5=-1+b

b=-4

y=-5x-4

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Simplify each expression using the distributive property <br><br>9(-7q-6)

hammer [34]

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(*￣▽￣*)ブ

5 0

3 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

Help me please!! If you do you will get 25 points :)

Radda [10]

Answer:

24 units by 15 units

Step-by-step explanation: To find how many units the length and width are, divide each by 5:

120/5 = 24

75/5= 15

For every 5 feet, there is 1 unit .

6 0

3 years ago

I’m confused please help

Maru [420]

<h2>Hello!</h2>

The answer is:

$Sin(A)=0.93$

To solve the problem, remember to set your calculator in "degree mode"

So, we are given that the angle A is equal to 68°

So, we have that:

$Sin(A)=Sin(68\°)=0.93$

Hence, we have that:

$Sin(A)=0.93$

Have a nice day!

4 0

3 years ago

I have to find f(3)

crimeas [40]

Answer:

Step-by-step explanation:

plug 3 into x

2(3)^2+(3)

2(9)+3

18+3

f(3)=21

4 0

3 years ago

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