Select all the expressions that are equivalent to -6(3x

Which expression is equivalent to

lutik1710 [3]

Answer:

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

Step-by-step explanation:

We can simplify the expression under the root first.

Remember to use $\frac{a^x}{a^y}=a^{x-y}$

Thus, we have:

$\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}$

We know 4th root can be written as "to the power 1/4th". Then we can use the property $(ab)^{x}=a^x b^x$

So we have:

$\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}$

Option D is right.

8 0

4 years ago

Polygon ABCDEF is translated 12 units to the left to create polygon A′B′C′D′E′F′. If DE = 7 units, what is D′E′ ?

gizmo_the_mogwai [7]

A translation is a rigid transformation, which means angle measures and distances from two points do not change.
Polygon ABCDEF is congruent to polygon A'B'C'D'E'F'

DE = D'E' = 7

8 0

3 years ago

Read 2 more answers

Determine the value of x in the equation x+5x=5x+7

12345 [234]

$\text{Hey there!}$

$\mathsf{Determine\ the\ value\ of\ x\ in\ the\ equation\ x+5x=5x+7.}$

$\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}$

$\mathsf{x+5x=5x+7}$

$\mathsf{COMBINE\ your\ like\ terms}$

$\mathsf{(x+5x)=(5x+7)}$

$\mathsf{The\ RIGHT\ side\ DOES\ NOT\ have\ any\ like\ terms\ so\ we\ can}\\\mathsf{can\ leave\ alone}$

$\mathsf{x+5x= 6x}$

$\mathsf{Your\ new\ equation: 6x=5x+7}$

$\mathsf{SUBTRACT\ by\ 5x\ on\ your\ sides}$

$\mathsf{6x-5x}\\\mathsf{=}\\\mathsf{7-5x}$

$\mathsf{SOLVE\ your\ equation\ above\uparrow}$

$\mathsf{If\ you\ SOLVED\ correctly\ you\ SHOULD\ have\ the\ VALUE\ of\ x}$

$\boxed{\boxed{\mathsf{Thus\ your\ answer\ is\ x=7}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

6 0

3 years ago

A regular hexagon with side length 4 has the same area as a square. What is the length of the square?

svetlana [45]

Answer: The length of the square is $6.44$

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

$A=\frac{s^2n}{4tan(\frac{180}{n})}$

Where "s" the length of any side of the polygon and "n" is the number of sides .

According to the information given in the exercise, you know that:

$s=4$

Since an hexagon has six sides, you know that:

$n=6$

Therefore, its area is:

$A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}$

The formula to find the area of a square is:

$A=s^2$

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

$24\sqrt{3}=s^2\\\\\sqrt{24\sqrt{3}}=s\\\\s=6.44$

7 0

3 years ago

What is a split infinitive and how do you fix it?

alexira [117]

Split infinitives are grammatical structures where the words "to" and "infinitive" are separated. Move the phrase separating the infinitive from the split position to get rid of the split infinitive.

In the given question we have to explain, what is a split infinitive and how we fix it.

As we know that,

Split infinitives are grammatical structures in which an adverb or adverbial phrase separates the "to" and "infinitive" halves of what is more often known as the to-infinitive in modern linguistics.

A split infinitive is created when the word "to" and the infinitive verb are separated by an adverb. To eliminate the split infinitive, move the phrase that divides it from the split place.

To learn more about split infinitives link is here

brainly.com/question/8101640

#SPJ4

7 0

1 year ago

Select all the expressions that are equivalent to -6(3x - 7).