3 years ago

translate the following sentence into an equation. the sum of twice a number x and 13 is two less than three times x

Mathematics

1 answer:

JulsSmile [24]3 years ago

8 0

Answer:

Step-by-step explanation:

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The difference between a number and 12 is 20

Vlad1618 [11]

If difference means adding then it would be 32. if it is subtracting then it would be -8

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Can someone please help me out?

Elza [17]

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Step-by-step explanation:

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3 years ago

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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

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Answer:19

Step-by-step explanation:

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3 years ago

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