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3 years ago

Find the line through (3, 1, â2) that intersects and is perpendicular to the line x = â1 + t, y = â2 + t, z = â1 + t.

Mathematics

1 answer:

umka2103 [35]3 years ago

6 0

Â1 + t, y = â2 + t, z = â1 + t.

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A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the

laila [671]

We have been given that a 208-yard-long road is divided into 16 parts of equal length.

Let us find length of each part.

$\text{Length of each part}=\frac{208}{16}$

$\text{Length of each part}=13$

Length of each part will be 13 yards.

We are told that Mr. Ward paints a 4-yard-long strip in each part.

Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.

$\text{Length of unpainted strip}=13-4$

$\text{Length of unpainted strip}=9$

Therefore, length of each unpainted strip will be 9 yards.

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3 years ago

You have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles in a Bowl. You randomly pick 4 marbles from the bowl (without replac

makvit [3.9K]

Answer:

Step-by-step explanation:

In this case each one is an independent event, therefore, the multiplication of each one would be the final probability

We have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles, that is, there are 5 + 4 + 3 12 Marbles in total.

Now if I draw a red one, the probability would be: 5/12

When drawing another red, the probability would be: 4/11

When taking the green: 4/10

When removing the blue: 3/9

Finally, the final probability is:

P = (5/12) * (4/11) * (4/10) * (3/9)

P = 0.020

In other words, the probability of this happening is 2%

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3 years ago

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noname [10]

Answer:

10 $x^{2}$ -55xy-30 $y^{2}$

Step-by-step explanation:

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raketka [301]

The initial payment per month being 30 and each movie being 2.50 means that if the total payment is 45 then you pay for 6 movies per month, 30x+6(2.5x)

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