Answer:
20m
Step-by-step explanation:
Answer: The scale factor is 4
Step-by-step explanation:
We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:
![V_1=13,824ft^3\\V_2=216ft^3](https://tex.z-dn.net/?f=V_1%3D13%2C824ft%5E3%5C%5CV_2%3D216ft%5E3)
By Similar solids theorem, if two similar solids have a scale factor of
, then corresponding volumes have a ratio of ![\frac{a^3}{b^3}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D)
Then:
![\frac{V_1}{V_2}=\frac{a^3}{b^3}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D)
Knowing this, we can find the scale factor. This is:
![\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4](https://tex.z-dn.net/?f=%5Cfrac%7B13%2C824%7D%7B216%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5C%5Cfrac%7B13%2C824%7D%7B216%7D%3D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E3%5C%5C%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B13%2C824%7D%7B216%7D%7D%5C%5C%5C%5Cscale%5C%20factor%3D%5Cfrac%7Ba%7D%7Bb%7D%3D4)
Answer:
The correct option is 1.
Step-by-step explanation:
The given function is
![y=|x|](https://tex.z-dn.net/?f=y%3D%7Cx%7C)
It is an absolute function. The transformation of function is defined as
![y=|x+a|+b](https://tex.z-dn.net/?f=y%3D%7Cx%2Ba%7C%2Bb)
Where, a is horizontal shift and b is vertical shift.
If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.
If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.
If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.
The required function is
![y=|x+2|+0](https://tex.z-dn.net/?f=y%3D%7Cx%2B2%7C%2B0)
![y=|x+2|](https://tex.z-dn.net/?f=y%3D%7Cx%2B2%7C)
Therefore the correct option is 1.