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3 years ago

Is this a proportional relationship?

Mathematics

1 answer:

seropon [69]3 years ago

8 0

Yeah

It’s is a Proportional Relationship

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Consider the triangle A(4,0), B(-2,4), C(0,6) What will be the equation of the altitude BM?

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Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

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BM slope: BM⊥ AC m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

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y = (2/3) x + 16/3 ... (2) -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

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Write as a product: ax^2+ay^2–bx^2–by^2+b–a

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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