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3 years ago

8

When solving a quadratic, which property do use to

1 answer:

dem82 [27]3 years ago

8 0

Answer:

As we can see multiplication of 5 and 1/5 is 1. It is obtained by inverse property of multiplication because according to this if number multiply by its reciprocal is equal to one.

And we can say 1/5 is a reciprocal of 5.

So it is inverse property.

So option b is correct.

Step-by-step explanation:

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2 years ago

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

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We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

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$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

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If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

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Add 1 on both sides.

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Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

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3 years ago

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