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3 years ago

Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7

Mathematics

1 answer:

aliya0001 [1]3 years ago

4 0

Answer:

They are perpendicular

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. This means the lines are perpendicular.

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3 years ago

Select the correct difference.

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Answer:

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3 years ago

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Given a sphere with a diameter of 6 cm, find its volume to the nearest whole number.

mezya [45]

Answer:

Volume of the sphere is $1.13\times 10^{-4}m^3$

Step-by-step explanation:

It is given diameter of the sphere d = 6 cm = 0.06 m

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$r=\frac{d}{2}=\frac{0.06}{2}=0.03m$

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$V=\frac{4}{3}\pi r^3$

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3 years ago

The population of Farmersville can be modeled by the inequality y > 2,000x + 2,100, where x is the number of years since 2010

Kaylis [27]

Answer:

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

Step-by-step explanation:

Inequality for the population of Farmsville:

The inequality for the population of Farmsville in x years after 2010 is given by:

$y(x) > 2000x + 2100$

Will the population of Farmersville be greater than 6,300 in 2012?

2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).

$y(2) > 2000(2) + 2100$

$y(2) > 6100$

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

3 0

3 years ago