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3 years ago

Write the expression as a sum of a difference of cubes and factor it: 1/64m^3+1000

Mathematics

1 answer:

yarga [219]3 years ago

3 0

Answer:

(1\64m + 20) (1\4096m^2 - 5\322m + 100)

Step-by-step explanation:

use a^3 + b^3 = (a+b)(a^2 - ab + b^2) to factor the expression = (1\64m+10)(1\4096m^2 - 10\64m + 100)

reduce the fractions with 2 = (1\64m + 10)(1\4096m^2 - 5\32m + 100)

= (1\64m + 20) (1\4096m^2 - 5\322m + 100)

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Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After

HACTEHA [7]

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3 years ago

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P= 2 and r= 6 workout the value of Q, when Q =5p +2r

arlik [135]

Answer:

Q=5(2)+2(6)

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Step-by-step explanation:

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3 years ago

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Rufina [12.5K]

Answer:

Step-by-step explanation:

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3 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.