#1. Convert the following expression into radical form.x4/3
1 answer:
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Answer:
OD = 9.375"
Step-by-step explanation:
We can draw a line from O to B to create a triangle.
Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.
Triangle ACB, we can use pythagorean theorem to figure out CB:
AC^2 + CB^2 = AB^2
15^2 + CB^2 = 17^2
225 + CB^2 = 289
CB^2 = 64
CB = 8
Now relating the corresponding sides, we can figure out OD:
Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.
Let's solve.
![x\quad \in \quad \left[ -\infty ,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%20-%5Cinfty%20%2C5%20%5Cright%5D%20)
If the number is a natural number. The values it can take is,![x\quad \in \quad \left[ 0,1,2,3,4,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%200%2C1%2C2%2C3%2C4%2C5%20%5Cright%5D%20)
Let's solve.
If the number is a natural number. The values it can take is,