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3 years ago

Identify the ordered pair that represents the vector from a(1,6) to b(2,-3) and the magnitude of ab

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer: magnitude ab = 9.06

Step-by-step explanation:

The vector coordinates will be represented with ( X , Y )

Magnitude of ab will be

ab^2 = (X2 -X1)^2 + (Y2 -Y1)^2

ab^2 = (2 -1)^2 + (-3 -6)^2

ab^2 = 1^2 + 9^2

ab^2 = 1 + 81

ab = 9.06

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2 years ago

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The owner of a miniature golf course asks you to design the shape of the green section. He has several requirements

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3 years ago

Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)

Dmitry [639]

Answer:

Rounding it to two decimal places, we get distance, $d=17.35$

Step-by-step explanation:

Given:

The two points are $(9.7, -2.8)\textrm{ and }(-3.2, 8.8)$

The distance between the two points can be obtained using the distance formula which is given as:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Here, for the points, $(9.7, -2.8)\textrm{ and }(-3.2, 8.8)$

$x_{1}=9.7,x_{2}=-3.2,y_{1}=-2.8,y_{2}=8.8$

Therefore, the distance between the points is:

$d=\sqrt{(-3.2-9.7)^2+(8.8-(-2.8))^2}\\d=\sqrt{(-12.9)^2+(8.8+2.8)^2}\\d=\sqrt{(12.9)^2+(11.6)^2}\\d=\sqrt{166.41+134.56}\\d=\sqrt{300.97}=17.348$

Rounding it to two decimal places, we get $d=17.35$

7 0

3 years ago

Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior citizen tickets and 4 child ticke

FrozenT [24]

Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?

14S + 4C = 200

14S = 200 - 4C

S = (200 - 4C)/14

7S + 1C = 92

7S = 92 - C

S = (92 - C)/7

(200 - 4C)/14 = (92 - C)/7

7 x (200 - 4C) = 14 x (92 - C)

1400 - 28C = 1288 - 14C

1400 - 1288 = 28C - 14C

112 = 14C

C = 112/14 = 8

the price of one child ticket = $8

8 0

3 years ago

The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is

Oksi-84 [34.3K]

Answer:

35 min show

Step-by-step explanation:

3.75 / 20 = .1875

5.25 / 35 = .15

you pay less for the 35 min show

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3 years ago