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3 years ago

Write (3p^3)^2 without exponents

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Answer:

3p*3p*3p*3p*3p*3p

Step-by-step explanation:

Multiply exponents

3p^6

expand

3p*3p*3p*3p*3p*3p = 3p^6

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

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$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

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2 years ago

What is the slope of a line that has an x-intercept of 6 and a y-intercept of 0

ankoles [38]

x intercept of 6 means (6,0) is on the line

y intercept of 0 means (0,0) is on the line

so the slope is (0-0)/(6-0) = 0

Answer: 0

Note: The question is actually bad; the line through the origin with slope zero is the X axis itself in which case it wouldn't be right to call the X intercept (just) (6,0).

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3 years ago