1/2 + 2/3 / 1/6 help brainliest who answers first

Mathematics

1 answer:

NISA [10]3 years ago

8 0

Answer:

Two answers are possible

Step-by-step explanation:

Both are listed below

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Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$

At point (-1, 2):

$\frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3}$

but a tangent has the same slope as the curve:

$y = mx + c$

m is the slope

c is the y-intercept

At (-1, 2):

$2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3}$

equation:

$y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}$

8 0

3 years ago

Read 2 more answers

Which set of numbers CANNOT represent the lengths of the sides of a triangle?

xxTIMURxx [149]

Answer:

Step-by-step explanation:

The problem with D is that 7 + 11 = 18. The rule is any two sides must exceed the third. D gives the shorter + the middle length = the longest length.

That can't work. All the others are fine.

8 0

3 years ago

Which expression is equivalent to 100+12

Alexus [3.1K]

It’s 4(25+3) because you need to put a line over the 25 and 3 so the 4 can multiply it like so