A point P is 13cm from the centre of the circle. the lenght of the tangent drawn from P to the circle is 12cm find the radius of the circle

The radius of the circle is 5 cm

Step-by-step explanation:

The given parameters are;

The distance of the point P from the center of the circle = 13 cm

The length of the tangent from the point P to the circle = 12 cm

The circle diagram is created with Microsoft Visio, from which we have;

The line drawn from the center to the point P, the tangent line from P to the circle and the radius of the circle form a right triangle

The length of the radius of the circle, r, is given by Pythagoras theorem as, follows;

r = √((13 cm)² - (12 cm)²) = 5  cm

Therefore, the radius of the circle = r = 5 cm.

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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