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Vladimir79 [104]
3 years ago
14

This graph shows a proportional relationship between the number of cello players and the number of violin players in a music gro

up. What is the constant of proportionality?

Mathematics
2 answers:
Paraphin [41]3 years ago
7 0
8

there are 8 violinists for each cellist.
DerKrebs [107]3 years ago
5 0
8 violines to be exact
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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
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Answer:

x^2 + 4x + y^2 +8y  =  0

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Required

The locus of P

AP:BP = 1 : 2

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Cross multiply

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2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

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Evaluate all squares

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Collect and evaluate like terms

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Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

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Divide through by 3

x^2 + 4x + y^2 +8y  =  0

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3 years ago
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