Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
![a=3,b=0](https://tex.z-dn.net/?f=a%3D3%2Cb%3D0)
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Answer:
3:2:25
Step-by-step explanation:
ratio=
12:8:100
6:4:50
3:2:25
Answer:
The volume of pyramid B is 3.5 times greater than the volume of pyramid A
Step-by-step explanation:
The area of squared based a pyramid is given by:
![Area = \frac{1}{3}*s*s*h](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2As%2As%2Ah)
Where 's' the length of the side of the base and 'h' is the height.
For pyramid A:
h= 100 m
s= 356/4 = 89 m
![Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3](https://tex.z-dn.net/?f=Area_A%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2A89%2A89%2A100%5C%5CArea_A%3D264%2C033.33%5C%20m%5E3)
For pyramid B:
h= 215 m
s= 456/4 = 114 m
![Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3](https://tex.z-dn.net/?f=Area_B%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2A114%2A114%2A215%5C%5CArea_B%3D931%2C380%5C%20m%5E3)
Pyramid B has a greater volume and the ratio between volumes is:
![\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5](https://tex.z-dn.net/?f=%5Cfrac%7BArea_B%7D%7BArea_A%7D%20%3D%5Cfrac%7B931%2C380%7D%7B264%2C033.33%7D%5C%5C%5Cfrac%7BArea_B%7D%7BArea_A%7D%20%3D3.5)
20:50 I think because there's 20 cats and 30 dogs so you'd add them I'd assume because they're all animals but I'm not certain
Answer:
1
Step-by-step explanation:
91: 7 13 11: 11 GCF:
The Greates Common Factor (GCF) is: 1