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3 years ago

14

The sum of three numbers is 26. the second number is twice the first and the third number is 6 more than the second. find the nu

mbers. show the steps

1 answer:

Strike441 [17]3 years ago

5 0

4/8/16 its trial and error

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2 years ago

Solve 7 ( x + 1 ) + 2 = 5x + 15

yawa3891 [41]

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

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3 years ago

Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

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3 years ago