Answer:
x = 12
y = 6√3
Step-by-step explanation:
✅Apply the intersecting secant theorem to find x. Thus:
6(6 + x) = 7(7 + 8³/7)
Convert the mixed fraction to improper fraction
6(6 + x) = 7(7 + 59/7)
36 + 6x = 49 + 59
36 + 6x = 108
6x = 108 - 36
6x = 72
Divide both sides by 6
x = 72/6
x = 12
✅Apply the tangent-secant theorem to find y. Thus:
y² = 6(6 + x)
Plug in the value of x
y² = 6(6 + 12)
y² = 6(18)
y² = 108
y = √108
y = 6√3
Answer: ![\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
Step-by-step explanation:
Properties of logarithm :
The given expression in terms of Natural log : 
This will become 
[ By using Property (3)]
[
]
![=\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
[ By using Property (1)]
Hence, the simplified expression becomes .
The answer for this is hundredth because it is .01 (two values behind decimal means hundredths)
Bart and David are correct.
Bart
6x(1+2/3^3)
6x * 1 = 6x
6x *2/3^3 = 4x^3
6x * 4x^3
David
x(6+4x^2)
x*6 = 6x
x*4x^2 = 4x^3
6x+4x^3
