In the diagram, PQ¯¯¯¯¯¯¯¯ is tangent to the circle at point Q, and secant PS¯¯¯¯¯¯¯ intersects the circle at points R and S. Th
e lines intersect outside the circle at point P.
A circle with no center shown. Points S, R, and Q lie on the circle. Secant P S and tangent P Q are described in the text. Segment R S equals 5 and segment P R equals 4.
What is the length of PQ¯¯¯¯¯¯¯¯?
Enter the correct value.
A circle with no center shown. Points S, R, and Q lie on the circle. Secant P S and tangent P Q are described in the text. Segment R S equals 5 and segment P R equals 4.
What is the length of PQ¯¯¯¯¯¯¯¯?
Enter the correct value.
1 answer:
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Answer:
Third option.
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where
As you can observe, is the reciprocal of
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of is the one shown below: