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4 years ago

Factor COMPLETELY over the complex numbers, if possible: a4 - b4

1 answer:

8 0

$a^4-b^4=(a^2)^2-(b^2)^2=(a^2-b^2)(a^2+b^2)$

$a^2-b^2=(a-b)(a+b)$

$a^2+b^2=a^2-(ib)^2=(a-ib)(a+ib)$

$a^4-b^4=(a-b)(a+b)(a-ib)(a+ib)$

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A baseball player reaches first base 3 out of 10 times he is at bat. If the baseball player bats 80 times, about how many times

Amanda [17]

Answer:

I think the answer is 24.

Step-by-step explanation:

I think the answer is 24 because if the baseball player hit the bat and ran the base 3 out of 10 times, then you would multiply 8 x 3 to get 24 out of 80. I don't know if this is the correct answer, this is just what I think it may be.

4 0

3 years ago

Write an equation that represents the following statement: 6 less than the product of r and 4 is 2

3241004551 [841]

Answer: R x 4 - 6

Step-by-step explanation:

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3 years ago

I need help ASAP I will name brainlest if you get it right and no bad answers

Dovator [93]

Answer:

1,000

Step-by-step explanation:

really sorry if wrong. But if it is wrong:

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8 0

3 years ago

Read 2 more answers

Vector W is in standard position, and makes an angle of 210 degrees with the positive x-axis, it's magnitude is 8. Write W in co

mariarad [96]

Answer:

$\vec W = -4\sqrt{3}\,\hat{i}-4\,\hat{j}$ , $\vec W = (-4\sqrt{3},-4)$

Step-by-step explanation:

If $\vec W$ is in standard position, then its direction is counterclockwise with respect to $+x$ semiaxis. A vector is defined by its magnitude and direction, that is:

$\vec W = \|\vec W\| \cdot (\cos \theta\,\hat{i}+\sin \theta \,\hat{j})$ (1)

Where:

$\|\vec W\|$ - Magnitude, no unit.

$\theta$ - Direction, measured in sexagesimal degrees.

If we know that $\|\vec W\| = 8$ and $\theta =210^{\circ}$ , then the resulting vector is:

$\vec W = 8\cdot (\cos 210^{\circ}\,\hat{i}+\sin 210^{\circ}\,\hat{j})$

$\vec W = -4\sqrt{3}\,\hat{i}-4\,\hat{j}$

Which is also equivalent to:

$\vec W = (-4\sqrt{3},-4)$

8 0

3 years ago

A triangle has sides A, B, and C. The angle between sides A and B is #pi/6# and the angle between sides B and C is #pi/12#. If s

Semmy [17]

Use the Law of Sines to solve for side c. Then you can you the two sides (c and b) and their included angle to find the area using.
sin(pi/6)/c = pi/12/5 cross multiply and divide 5*sin(pi/6)/pi/12 = 9.5
That makes side c= 9.5.
now use the formula for finding area with two sides and their included angle. It must the angle between them.
(1/2)(9.5)(5)cos(pi/12) multiply that all together and you should get the area equals 22.9

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4 years ago