Answer:
18 is the GCF
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
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:
![y+1=-2(x+3)](https://tex.z-dn.net/?f=y%2B1%3D-2%28x%2B3%29)
Step-by-step explanation:
Slope is negative reciprocal when two lines are perpendicular
m1=1/2 therefore m2=-2
The equation of the line in point-slope form is given as
![y-y_1=m_2(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm_2%28x-x_1%29)
Here m=-2 and (x1, y1)=(-3, -1)
Therefore,
![y+1=-2(x+3)](https://tex.z-dn.net/?f=y%2B1%3D-2%28x%2B3%29)
Answer:
if you mean cubed its 125 but if you mean squared its 25
Step-by-step explanation:
24 since .25 times 4 = 1 so try 6 times 4 and it equals 24