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3 years ago

Simplify the following expression (w^8)8

Mathematics

1 answer:

Crank3 years ago

7 0

Answer:

w^64

Step-by-step explanation:

(w^8)^8

both of the powers will be multiplied; hence

w^8*8

w^64

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(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint

vfiekz [6]

Answer:

1 hour 12 minutes or 1.2 hours

Step-by-step explanation:

You add fractions to get this.

1 room/3 hours + 1 room / 2 hours = 1 room / x

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0.83333333 = 1 / x Multiply both sides by x

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3 years ago

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3 years ago

Determine whether the three points are collinear. (3, -10), (-2, -7), (0, -5)

Mumz [18]

The points are not collinear.

Solution:

Let A, B and C be (3, -10), (-2, -7) and (0, -5).

If slopes of any two points are same, then the points are collinear.

Slope formula:

$$m=\frac{y_2-y1}{x_2-x_1}$

Slope of AB:

$$m_1=\frac{-7-(-10)}{-2-3}$

$$m_1=\frac{-7+10}{-5}$

$$m_1=-\frac{3}{5}$

Slope of BC:

$$m_2=\frac{-5-(-7)}{0-(-2)}$

$$m_2=\frac{-5+7}{2}$

$$m_2=\frac{2}{2}$

$m_2=1$

Slope of CA:

$$m_3=\frac{-10-(-5)}{3-0}$

$$m_3=\frac{-10+5}{3}$

$$m_3=-\frac{5}{3}$

$m_1\neq m_2 \neq m_3$

Slope of AB ≠ Slope of BC ≠ Slope of AC

Therefore the points are not collinear.

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3 years ago

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ludmilkaskok [199]

Answer:

Step-by-step explanation:

Thats an absolute value function, an absolute value function can not be negative

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