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Katyanochek1 [597]
2 years ago
8

Simplify x^1/3(x^1/2+2x^2)

Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Answer:

x^{5/6 } + 2\cdot x^{7/3}

Step-by-step explanation:

Let be x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2}), which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})  Given.

2) x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2}) Distributive and associative properties.

3) x^{5/6 } + 2\cdot x^{7/3} a^{m}\cdot a^{n} = a^{m+n}/Result

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WILL MARK BRAINLIEST!!! Find the fifth roots of 243(cos 240° + i sin 240°).
Snowcat [4.5K]

Answer:

<h2>3(cos 336 + i sin 336)</h2>

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

6 0
2 years ago
I need awnsers for questions 1, 3, and 5! WITH WORK PLEASE! GIVING BRAINLYST!
Crazy boy [7]

Answer:

number one is the 45 feet number three is the 12 one i think and five is 70

Step-by-step explanation:

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Read 2 more answers
Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
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Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


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3 years ago
What is the prime factorization of 24?
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Answer:

2 x 2 x 2 x 3, so its E

Step-by-step explanation:

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