48 is the answer. Hope this helps
<u>Given</u>:
Given that A and B are circles.
The lines TQ and TS are tangent to the circles A and B.
The length of the tangent TQ is (3x - 8)
The length of the tangent TS is (x + 10)
We need to determine the value of x.
<u>Value of x:</u>
Since, the tangents TQ and TS meet at the common point T, then by two tangents theorem, we have;
Substituting the values, we have;
Simplifying, we get;
Thus, the value of x is 9.
We can write an equivalent expression by factoring this polynomial.
Since the GCF for these terms is 5, we can factor out a 5.
That leaves us with each term divided by 5 inside the parenthses.
So we have 5(x + 3).
Hello! And thank you for your question!
First find the Greatest Common Factor:
GCD = 4
Then factor out the GCF:
4(4x^2 over 4 + -8x over 4 - 32 over 4)
Then simplify each term that is in parentheses:
-4(x^2 - 2x - 8)
Finally factor x^2 - 2x - 8:
-4(x - 4)(x + 2)
Final Answer:
-4(x - 4)(x + 2)