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kifflom [539]
3 years ago
10

I’m giving brainlyest to the right answer

Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:  4*(-3x +0.6y - 12)

Step-by-step explanation:

-12x+2.4y-48

Factor out 4

4*((-12x/4)+(2.4/4)y-(48/4)

4*(-3x +0.6y - 12)

You might be interested in
Solve the equation for x.​
Inessa05 [86]

Answer:

Step-by-step explanation:

x/13=10

We have to get rid of the 13. (the denominator)

How?

By multiplying 2 sides by 13

Remember the Rules of Maths:

1. Whatever you do to one side, you must do to the other.

2. Use the opposite operation.

So, we used Rule 2 to get rid of the 13.

Now:

x=10*13

(On the left side, the 13s cancel)

x=130

It is always a great idea to double-check

Does 130 divided by 13 equal 10?

Of course it does!

Have a great day!!

I hope everything is clear!

6 0
3 years ago
Calculate the distance between (4,9) and (-2,6) using the distance formula.
MAVERICK [17]

Answer:

\large\boxed{d=3\sqrt5}

Step-by-step explanation:

\text{the formula of a distance between two points}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2):\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=========================\\\\\text{We have}\ (4,\ 9)\ \text{and}\ (-2,\ 6).\ \text{Substitute:}\\\\d=\sqrt{(-2-4)^2+(6-9)^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36+9}=\sqrt{45}\\\\\sqrt{45}=\sqrt{9\cdot5}=\sqrt9\cdot\sqrt5=3\sqrt5

6 0
3 years ago
Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-
Akimi4 [234]

Answer:

We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.

4 0
3 years ago
Read 2 more answers
Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19
Katen [24]

x''+4x'+53x=15

has characteristic equation

r^2+4r+53=0

with roots at r=-2\pm7i. Then the characteristic solution is

x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)

For the particular solution, consider the ansatz x_p=a_0, whose first and second derivatives vanish. Substitute x_p and its derivatives into the equation:

53a_0=15\implies a_0=\dfrac{15}{53}

Then the general solution to the equation is

x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}

With x(0)=8, we have

8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}

and with x'(0)=-19,

-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}

Then the particular solution to the equation is

\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}

8 0
3 years ago
X^2 - 4x + 2x – 8 = 2(x + 2)
zhenek [66]

Answer:

x = 6 or x = -2

Step-by-step explanation:

x^{2}  - 4x + 2x - 8 = 2(x + 2)\\x^{2}  - 4x + 2x - 8 = 2x + 4\\x^{2}  - 4x - 12 = 0\\(x-6)(x+2) = 0\\

5 0
3 years ago
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