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2 years ago

Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)

Mathematics

1 answer:

marshall27 [118]2 years ago

8 0

Answer:

$(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7$

Step-by-step explanation:

Given

$(4x^3y^5)(3x^5y)^2$

Required

The equivalent expression

We have:

$(4x^3y^5)(3x^5y)^2$

Expand

$(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2$

Further expand

$(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2$

Apply laws of indices

$(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7$

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Anastasy [175]

The equation of the line will be y = 4x. Then the correct option is A.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

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Writing an Equation from a Table

A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.

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y – 8 = [(12 – 8) / (3 – 2)] (x – 2)

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Then the correct option is A.

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2 years ago

What do a rectangle and a rhombus have in common? Select all that apply.

Serjik [45]

Answer:The opposite sides are parallel.

They have four right angles.

Step-by-step explanation: I know it because we all learn it in 5 grade.

4 0

2 years ago

Question 8

sasho [114]

we are given

system of equations

First equation is

$3x-2y=31$

Second equation is

$3x+2y=-1$

now, we can find augmented matrix

$A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}$

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

$A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}$

step-2:add -3 times the 1st row to the 2nd row

$A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}$

step-3:multiply the 2nd row by 1/4

$A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}$

step-4: add 2/3 times the 2nd row to the 1st row

$A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}$

so, we get

$x=5,y=-8$

Answer is (5,-8)

6 0

3 years ago

Read 2 more answers

22. One kilometer is approximately 0.62 mile. What fraction represents this length?

bixtya [17]

Answer:

One kilometer is $\frac{31}{50}$ miles

Explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

$0.62 = \frac{0.62}{1}$

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

$0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}$

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

$\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}$

Hope this helps :)

6 0

2 years ago

Thank you if you choose to help l

Aneli [31]

Answer:

xyz plz my answer as brainliest

3 0

3 years ago

Read 2 more answers