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Kisachek [45]
3 years ago
6

Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

Answer:

<1 ,1>..., square root of two

Step-by-step explanation:

Component of vector PQ...,

; Q - P...where you subtract the x coordinate of Q by the x coordinate of P and the same for the y coordinate

; <(6-5),(9-8)>

; < 1,1 >

And the magnitude of PQ...,

;square root of( 1^2 + 1^2 )

;square root of 2

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Perform the indicated operations; reduce the answer to lowest terms.
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a. 9/10

explanation:

• the denominators (bottom number) are the same so there is no need to change to a common factor

• because the fractions have common factors, you add the top numbers (3+6) to get 9

• then you put the top number over the 10 (9/10) and it’s simplified as much as possible

b. 3/4

explanation:

• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12

• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)

• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)

• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)

• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12

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c. 1/3

explanation:

•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6

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3 0
3 years ago
Fill in the missing terms for the geometric sequence
expeople1 [14]

Step-by-step explanation:

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4 0
3 years ago
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zlopas [31]

Answer:

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Step-by-step explanation:

Unit of measure

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For this reason is importatn to include the units of meausre with the plots since with that we have a point of reference for the variables used.

And satisfy the condition "A standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph."

8 0
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astra-53 [7]

Answer: 144 cm^2

Step-by-step explanation:

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4 0
1 year ago
Read 2 more answers
2/3y = 4/5 solve the equation using inverse operations
Alisiya [41]

Answer:

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Step-by-step explanation:

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