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3 years ago

Simplify the expression: √4x^2/3y

Mathematics

2 answers:

777dan777 [17]3 years ago

3 0

I think it’s 2x^1/3y hope this helped

NeX [460]3 years ago

3 0

Answer:

$\frac{2x}{3y}$

please give me brainliest!

Step-by-step explanation:

$\frac{\sqrt{4x^2}}{3y} = \frac{2x}{3y}$

I'm assuming that the entire 4x^2 term is under the radical sign. If it isn't, then

$\frac{\sqrt{4}x^2}{3y} = \frac{2x^2}{3y}$

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1. The sum of the real numbers x and y is 15. Their

Brut [27]

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9

6 0

3 years ago

hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and

Mariulka [41]

Given:

The equation is,

$2\log _3x-\log _3(x-2)=2$

Explanation:

Simplify the equation by using logarthimic property.

$\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{ \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}$

Simplify further.

$\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}$

Solve the quadratic equation for x.

$\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}$

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

For (x - 3) = 0,

$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0

1 year ago

Write the equation of the line through the indicated point with the indicated slope. write the final answer in the form y equals

Assoli18 [71]

y = - 4x + 13

slope = -4

y-intercept = 13

8 0

3 years ago

The list shows numbers in order from least to greatest. -15, -3 3/4 -1.5 ___ 2.3 5 2/3 Which is an integer that can be inserted

Ugo [173]

Answer: -1.

Step-by-step explanation:

7 0

3 years ago

A factory makes 1200 shirts every 6 hours the factory makes shirts for 9 hours each workday enter the fewest number of workdays

yarga [219]

Hey make 200 per hour, and would need 63 hours to make 12600 shirts. 63/9=7
They’d need to work for 7 days
Hope this helps

6 0

3 years ago

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