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Alex787 [66]
2 years ago
9

Minimize Q=x^2+2y^2, where x+y=3

Mathematics
1 answer:
Studentka2010 [4]2 years ago
6 0
<span>The first step you need to do is to rewrite
x+y=3
as y=3-x
</span><span>Now we can replace the y in the equation with our newfound value for y, which is
y=3-x.
So lets write it now like this
Q=x^2+2(3-y)^2
=x^2+18-12x+2x^2
=3x^2+18-12x
</span>Hope this helps
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Step-by-step explanation:

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What is the equation for the circle with the center (11,6) and passes through the point (17,12)
MissTica

Answer:

The answer to your question is the letter D. (x - 11)² + (y - 6)² = 72

Step-by-step explanation:

Data

Equation = ?

Center = (11, 6)

Point = (17, 12)

Process

1.- Calculate the length of the radius using the distance between two points formula.

d = \sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}

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-Substitution

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d = \sqrt{36 + 36}

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2.- Write the equation of the formula

    (x - 11)² + (y - 6)² = (\sqrt{72})²

Result

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3 years ago
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