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3 years ago

Suppose segment PQ has one endpoint at P (0,0). If T (6,3) is a point 3/10 of the way from P to Q, find the coordinates of Q.

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Answer:

Q(20,10)

Step-by-step explanation:

If point T (6,3) is a point 3/10 of the way from P(0,0) to Q(x,y), then

$\overrightarrow {PT}=\dfrac{3}{10}\overrightarrow {PQ}.$

Find the coordinates of the vectors $\overrightarrow {PT},\ \overrightarrow {PQ}:$

$\overrightarrow {PT}=(6-0,3-0)=(6,3);\\ \\\overrightarrow {PQ}=(x-0,y-0)=(x,y).$

Thus,

$(6,3)=\dfrac{3}{10}(x,y),\\ \\(x,y)=\dfrac{10}{3}(6,3)=(20,10).$

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Answer:

Step-by-step explanation:

Remark

My guess is that what is confusing you is not what you have to do, but why it is disguised as g(n)

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zero

n = 0

g(0) = 34 - 5*0

g(0) = 34

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g(1) = 34 - 5*1

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Two

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Three

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g(3) = 19

Four

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Answer

0 1 2 3 4

34 29 24 19 14

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