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salantis [7]
3 years ago
8

Solve the equation using square roots. 6x2 = 54

Mathematics
2 answers:
Aneli [31]3 years ago
7 0

Answer:

The solution of the equation is x=\pm 3

Step-by-step explanation:

Given : Equation  6x^2=54

To find : Solve the equation using square roots?

Solution :

The given equation is 6x^2=54

Step 1 - First we divide the equation by 6

 \frac{6x^2}{6}=\frac{54}{6}

 x^2=9

Step 2 - Taking square root both side,

\sqrt{x^2}=\sqrt{9}

x=\pm 3

Therefore, The solution of the equation is x=\pm 3

Mars2501 [29]3 years ago
5 0
6x^2 = 54

6(x^2) = 54

6(x^2)/6 = 54/6

x^2 = 9

rt(x^2) = rt(9)

x = 3

hope this helps
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Luba_88 [7]

Answer:

As shown in picture,

Option 2 is correct.

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Vertical asymptote at x = 6 ( graph goes to infinity when x = 6)

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Vertical asymptote at x = -4 ( graph goes to infinity when x = -4)

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6 0
3 years ago
Read 2 more answers
A business executive bought 40 stamps for
alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

x + y =40

<em>(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)</em>

Now, let's make an equation for the cost of these stamps.

0.33x + 0.23y = 12.40

<em>(AKA - The cost of the stamps in total, should equal $12.40).</em>

So now, we have our two equations:

x + y =40\\0.33x+0.23y=12.40

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

x+y=40\\x=40-y

Now, let's put this into our second equation.

0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40

Distribute, and solve for y.

13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8

Now, we plug this into one of our equations.

x+y=40\\x+8=40\\x=32

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0
1 year ago
The flat surfaces of a 3D shape are called what? Faces Edges Vertices
umka2103 [35]
The flat surfaces of a 3D shape are called faces
6 0
3 years ago
Can some one help me plz trying to figure out? Need help ASAP
zloy xaker [14]

Answer:

a. = -35 \\ b. = 9a + 1 \\ c. = -35

Step-by-step explanation:

a. \\  =  >  \: 7a - 1 + 2a + 2 \\  \\  =  > 7( - 4) - 1 + 2( - 4) + 2 \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \: (a =  - 4) \\  \\  =  >  - 28 - 1 - 8 + 2 \\  \\  =  >  - 37 + 2 \\  \\  =  >  - 35 \\  \\  \\ b. \\  =  > 7a - 1 + 2a + 2 \\  \\  =  > 7a + 2a - 1 + 2 \\  \\  =  > 9a + 1 \\  \\  \\ c. \\  =  > 9a + 1 \\  \\  =  > 9( - 4) + 1 \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \: (a  =  - 4) \\  \\  =  >  - 36 + 1 \\  \\  =  >  - 35

5 0
3 years ago
Use a matrix to solve the system:
Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\

Rewrite these equations in matrix form

\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\

we can write it like this,

AX=B\\X=A^{-1}B

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]  \\

now multiply the matrix with B

X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\

4 0
2 years ago
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