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3 years ago

How to find a point on a line in 3d given the distance from one of the points?

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Let a line in three dimensions be specified by two points and lying on it, so a vector along the line is given by

(1)The squared distance between a point on the line with parameter and a point is therefore(2)

To minimize the distance, set and solve for to obtain

(3)

where denotes the dot product. The minimum distance can then be found by plugging back into (2) to obtain

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When compared with the independent variable, how many of the graphs represent a linear relationship?

strojnjashka [21]

Since a slope differe, this is not linear relationship. Simply, if you connect all points on the graph, they will not lie on the same line. Two next graphs represent the linear relationships, so they represent the linear relationship.

8 0

2 years ago

What ideas do you need to remind yourself when working with taxes and discounts

azamat

Answer:

remember to read carefully

Step-by-step explanation:

6 0

3 years ago

Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, L, from the first ribbon and finds that 5 inches a

nikitadnepr [17]

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

$2L+40=x......(2)$

From equation 1 and 2,

$9L+5=2L+40\\\\7L=35\\\\L=5$

Plugging this value in equation 1,

$9(5)+5=x\\\\x=45+5\\x=50$

Therefore, the length of each ribbon when she bought them was 50 inches.

3 0

3 years ago

Among 400 randomly selected drivers in the 16 minus 18 age bracket, 293 were in a car crash in the last year. If a driver in th

professor190 [17]

Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

$p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325$

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a year.

As this value is high, there is reasons to be concerned about it.

4 0

3 years ago

2(38-4x) = 58-5x<br> Answer

OleMash [197]

Answer:

x=6

Step-by-step explanation:

6 0

3 years ago