Answer:
1. terms: 4r, 2, -6, and 3r like terms: 2 and -6, 4r and 3r
2.terms: 5h^2, -3h^2, - 4h, 3h, 7 like terms: 5h^2 and -3h^2, - 4h and 3h
3. 3m + 6
4. 15b + 2
5. 3x + 9
Step-by-step explanation:
1. 4r + 2 - 6 +3r
terms: 4r, 2, -6, and 3r like terms: 2 and -6, 4r and 3r
2. 5h^2 - 3h^2 - 4h + 3h + 7
terms: 5h^2, -3h^2, - 4h, 3h, 7 like terms: 5h^2 and -3h^2, - 4h and 3h
3. 6m + 7 - 3m-1
3m + 6
4. 3(5b +2) - 4
15b + 6 - 4
15b + 2
5. 2x + 4 + 5 + x
3x + 9
Answer:
360 seconds ....
Step-by-step explanation:
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to
making x
. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
just keep in mind am not sure if the answer 6:15:20
Step-by-step explanation:
now we have ab= 2 : 5
and bc= 3 : 4
so b is the common one between them so multiply both of the b together which will give u 15 so now we have b = 15
to get a multiply 2 by 3 to get 6 so a = 6
to get c multiply 4 by 5 to get 20 so c = 20
now I hope that its correct and that u understood
Answer:
![\large\boxed{21.\ g(x)=f(x-2)+1\to g(x)=\log_3(x-2)+1}\\\\\boxed{22.\ g(x)=f(x)-4\to g(x)=3^x-4}\\\\\boxed{23.\ g(x)=-f(x)\to g(x)=-\log_{\frac{1}{2}}x}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B21.%5C%20g%28x%29%3Df%28x-2%29%2B1%5Cto%20g%28x%29%3D%5Clog_3%28x-2%29%2B1%7D%5C%5C%5C%5C%5Cboxed%7B22.%5C%20g%28x%29%3Df%28x%29-4%5Cto%20g%28x%29%3D3%5Ex-4%7D%5C%5C%5C%5C%5Cboxed%7B23.%5C%20g%28x%29%3D-f%28x%29%5Cto%20g%28x%29%3D-%5Clog_%7B%5Cfrac%7B1%7D%7B2%7D%7Dx%7D)
Step-by-step explanation:
f(x) + n - shift the grapf n units up
f(x) - n - shift the grapf n units down
f(x + n) - shift the grapf n units to the left
f(x - n) - shift the grapf n units to the right
-f(x) - reflection about the x-axis
f(-x) - reflection about the y-axis
============================================
Look at the picture.
![21.\\f(x)=\log_3x\\\\g(x)=\log_3(x-2)+1](https://tex.z-dn.net/?f=21.%5C%5Cf%28x%29%3D%5Clog_3x%5C%5C%5C%5Cg%28x%29%3D%5Clog_3%28x-2%29%2B1)
move the graph 2 units to the right and 1 unit up
![22.\\f(x)=3^x\\\\g(x)=3^x-4](https://tex.z-dn.net/?f=22.%5C%5Cf%28x%29%3D3%5Ex%5C%5C%5C%5Cg%28x%29%3D3%5Ex-4)
move the graph 4 units down
![23.\\f(x)=\log_{\frac{1}{2}}x\\\\g(x)=-\log_{\frac{1}{2}}x](https://tex.z-dn.net/?f=23.%5C%5Cf%28x%29%3D%5Clog_%7B%5Cfrac%7B1%7D%7B2%7D%7Dx%5C%5C%5C%5Cg%28x%29%3D-%5Clog_%7B%5Cfrac%7B1%7D%7B2%7D%7Dx)
reflection the graph about the X axis.