What value of k will make the expressions equivalent? A. -42 B. -34 C. 16 D. 114
1 answer:
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<h2>Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:
In fact, the volume is because:
Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:
So the new volume is:
<em>Well, the volume has increased from </em> <em>and since</em>
<em>we can say that the new volume is two times the original volume.</em>
The given expression is:
![\sqrt[4]{ 9^{ \frac{1}{2}x } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%209%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%20%7D%20%7D%20%20)
4th root is equivalent to raising the expression to power
. So, re-writing the expression by converting radical to exponent:
Therefore, the given expression simplifies to
4th root is equivalent to raising the expression to power
Therefore, the given expression simplifies to