3 years ago

Find the length of side x in simplest radical form with a rational denominator.

1 answer:

6 0

Answer: x = 2 sqrt(3)

Explanation:

x = 6/sqrt(3)

Rationalize denominator

x = 6 x sqrt(3)/sqrt(3) x sqrt(3)
x = 6 sqrt(3)/3
x = 2 sqrt(3)

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Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?<br>

Lostsunrise [7]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$