Which rule was used to translate the image?
1 answer:
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Answer:
DE = 10
Step-by-step explanation:
Here, we want to find the value of DE
we use the intersecting chord principle
That will be;
CE * ED = AE * BE
we have;
6 * DE = 5 * 12
DE = (5 * 12)/6
DE = 5 * 2
DE = 10
Use this property,
![\sqrt[b]{x^{a} } = x ^{ \frac{a}{b} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bb%5D%7Bx%5E%7Ba%7D%20%7D%20%20%3D%20x%20%5E%7B%20%5Cfrac%7Ba%7D%7Bb%7D%20%7D%20)
In the given question, a = x and b = 4
![80 ^{ \frac{x}{4} } = \sqrt[4]{80^{x} }](https://tex.z-dn.net/?f=80%20%5E%7B%20%5Cfrac%7Bx%7D%7B4%7D%20%7D%20%3D%20%20%20%20%5Csqrt%5B4%5D%7B80%5E%7Bx%7D%20%7D%20%20)
∴ 2nd one is correct
In the given question, a = x and b = 4
∴ 2nd one is correct