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Irina-Kira [14]
4 years ago
8

Write an equation to model the distance between the point (2,4) and any point along the curve

Mathematics
1 answer:
zlopas [31]4 years ago
7 0

Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

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Sorry, it's actually the third one, 4.8 feet

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Answer:

\large\boxed{\dfrac{5}{10}}

Step-by-step explanation:

\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000

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