For this case, we can use the Intersecting Chord Theorem.
The theorem states that QA * AS is always equal to TA * AR.
Therefore we can write it as:
9 * 4x = 12 * (x + 2)
Performing the operations:
36x = 12x + 24
24x = 24
x=1
Calculating the length of chords QS and TR:
QS = 9 + 4x = 9 + 4 = 13
TR = 12 + (x+2) = 12 + 3 = 15
Therefore the length of the shorter chord is 13.
Answer: 0.29 or 29%
Step-by-step explanation:
Given :
Probability that the athletes are football players : P(football ) = 0.28
Probability that the athletes are basketball players : P(basketball) = 0.25
Probability that the athletes play both football and basketball: P( both football and basketball ) = 0.24
Now, using formula
P(either football or basketball)= P(football )+ P(basketball+ P( both football and basketball )
⇒P(either football or basketball)= 0.28+0.25-0.24 = 0.29
Hence, the probability that they are either a football player or a basketball player = 0.29 .
Answer:
4/25 is the answer. Option A
Step-by-step explanation:
Answer:
![12 {y}^{9} - 6 {y}^{5} + 4 {y}^{2} + 21](https://tex.z-dn.net/?f=12%20%7By%7D%5E%7B9%7D%20%20-%206%20%7By%7D%5E%7B5%7D%20%20%2B%204%20%7By%7D%5E%7B2%7D%20%20%2B%2021)
Step-by-step explanation:
divide each term by 2y^3
Multiply through by the least common denominator.