Given the figure determine the value of the unknown segment, #x#?

Answer 1

#:. x = 7sqrt(6)~~17.15#

The tangent secant theorem states that if a tangent segment and a secant segment are drawn to a circle from the same external point, then the product of the lengths of the internal and external parts of the secant segment equals the square of the length of the tangent segment.

In the given picture, this gives us

#PA^2=PC*CF#
#=> x^2 = 7*42 = 294#
#:. x = sqrt(294) = 7sqrt(6)~~17.15#
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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