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NeX [460]
2 years ago
14

Simplify \root(3)(8x^(6))y^(12)

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
4 0

The simplification form of the provided expression is 2x²y⁴ option first is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= \rm \sqrt[3]{8x^6y^{12}}

\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}

\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}

\rm =2x^2\sqrt[3]{y^{12}}

\rm =2x^2y^4

Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

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Answer:

s = u/tv

Step-by-step explanation:

To make s the subject of the formula in the equation of; u = tsv

,just divide both sides by (tv)...in which on the right hand side...it will cancel out t and v,hence leaving only s and then only the left hand side..it will give you your answer;

; u = tsv

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Find the equation of the line between the points (10, – 5) and ( - 2,0).
Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{12} x-\frac{5}{6}  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}

Thus, the slope of the line is -\frac{5}{12}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{12} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}

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ratio 5:2

105, ___

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2x = ____ → 2(21) = 42

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