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4 years ago

Given that P = (2, 9) and Q = (4, 14), find the component form and magnitude of vector PQ.

1 answer:

6 0

We are asked to determine the lengths of the line segment drawn with these points as endpoints. The equation of the distance between points is,
d = sqrt ((y2 - y1)² + (x2 - x1)²)
Substituting the coordinates of the points,
d = sqrt ((14 - 9)² + (4 - 2)²)
The numerical value for d is approximately 5.39.

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Consider Akelia’s sequence 5, 8, 11, 14, 17, ….

bonufazy [111]

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

$a_n=3n+2\hspace{10}n\in N$

Let's confirm the formula by evaluating the first 6 terms:

$a_1=3(1)+2=3+2=5\\a_2=3(2)+2=6+2=8\\a_3=3(3)+2=9+2=11\\a_4=3(4)+2=12+2=14\\a_5=3(5)+2=15+2=17\\a_6=3(6)+2=18+2=20$

5 0

3 years ago

A line passes through the point (-6,4) and has a slope of 5/2

matrenka [14]

The equation in slope intercept for is y = 5/2x + 4

The y intercept is 4

6 0

3 years ago

what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal

Aneli [31]

Answer:

322

Step-by-step explanation:

Triangle area = base*height)2Here, area = 23*28/2=322

5 0

2 years ago

Read 2 more answers

Find the m<1 <br> 69<br> 71<br> 111<br> 86

Alexxandr [17]

Answer:

Step-by-step explanation:

m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69

3 0

3 years ago

1948 Olympics

mash [69]

Answer:

For 1948 Men's :Interquartile range is 1.5, Median is 58.3

For 2012 Men's: Interquartile range is 0.315, Median is 47.86

You can infer that in 2012 the swimmers were better and it was more competitive as the interquartile range was lower and the median was also lower as well

Step-by-step explanation:

1948 Men's 100m

57.3, 57.8, 58.1, 58.3, 58.3, 59.3, 59.6,1:00.5

⬆ ⬆ ⬆

Low IQR Median High IQR

Low IQR is average of 57.8 and 58.1 = 57.95

High IQR is average of 59.3 and 59.6 = 59.45

Median is average of 58.3 and 58.3 = 58.3

Interquartile range is High IQR- Low IQR

59.45 - 57.95=1.5

2012 Men's 100m

47.52, 47.53, 47.8, 47.84, 47.88, 47.92, 48.04, 48.44

⬆ ⬆ ⬆

Low IQR Median High IQR

Low IQR is average of 47.53 and 47.8 = 47.665

High IQR is average of 48.04 and 47.92 = 47.98

Median is average of 47.88 and 47.84 = 47.86

Interquartile range is High IQR-Low IQR

47.98-47.665=0.315

Read more on Brainly.com - brainly.com/question/14915771#readmore

8 0

4 years ago