2 years ago

On a piece of paper, graph y = - 2x - 3. Then determine which

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

8 0

Answer:

-3 is where you plot a point then you go up 2 and the the left 1

Step-by-step explanation:

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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

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3 years ago

John is making himself a lunch. He has three different soups to choose from, four different kinds of pop, and three different ki

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For this problem, we use the Fundamental Counting Principle where it states that if an event has n possible outcome and another independent event has m outcomes then there will be nm total possible outcome. Therefore, there are 3x4x3 = 36 possible different lunch John can make.

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3 years ago

six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na

raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

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3 years ago

Square root of 476 is?

steposvetlana [31]

Answer:

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Natali5045456 [20]

The answer is 10+9+0.4

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3 years ago