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3 years ago

What is the value of x? Round to the nearest tenth. Please Help

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

Answer:

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm$

Substitute:

$x^2+20.2^2=(14.7+x)^2$ <em>use (a + b)² = a² + 2ab + b²</em>

$x^2+408.04=14.7^2+(2)(14.7)(x)+x^2$ <em>subtract x² from both sides</em>

$408.04=216.09+29.4x$ <em>subtract 216.09 from both sides</em>

$191.95=29.4x$ <em>divide both sides by 29.4</em>

$x\approx6.5\ cm$

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Proof:

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a.y'=-1

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c.Yes

Step-by-step explanation:

We are given that consider a function

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Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

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$\frac{dy}{dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

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