Answer:
Option B is correct.
![5\sqrt[3]{10} + 4\sqrt[3]{10}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B10%7D%20%2B%204%5Csqrt%5B3%5D%7B10%7D)
Step-by-step explanation:
Given the equation: ![9\sqrt[3]{10}](https://tex.z-dn.net/?f=9%5Csqrt%5B3%5D%7B10%7D)
We can write 9 as:
9 = 5+ 4
then;
![(5+4)\sqrt[3]{10}](https://tex.z-dn.net/?f=%285%2B4%29%5Csqrt%5B3%5D%7B10%7D)
Using distributive property:

Apply distributive property:
![5\sqrt[3]{10} + 4\sqrt[3]{10}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B10%7D%20%2B%204%5Csqrt%5B3%5D%7B10%7D)
Therefore, the expression which is equivalent to
is ![5\sqrt[3]{10} + 4\sqrt[3]{10}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B10%7D%20%2B%204%5Csqrt%5B3%5D%7B10%7D)
C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.
We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.
We will use slant height of a pyramid formula to solve our given problem.
,where,
s = Slant height,
h = Height,
a = Each side of square base.
Upon substituting our given values in above formula, we will get:



Switch sides:

Let us square both sides:




Now we will take positive square root of both sides.


Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.
The correct answer is B. 3 meters
hope this helps!=-)
Step-by-step explanation:
A Tyler made mistake in the third step
B Tyler didi not multiply 4 by 6
C 9 - 20x + 24
- 20x + 15
-5 (4x - 3)