108
4 times 3 =12
12 times 3 =36
36 times 3 =108
etc
Solution 1. 4.896 meters. Sample reasoning: The actual height is 48 times the scaled height. . 4,896 mm is 4.896 m.
102 mm is 0.102 m. The actual train is 48 times 0.102 m. .
2. No. Sample explanation: The modern train needs tracks that are 60 inches apart, because 1 1/4 x 48 =60 . The old tracks are only 54 inches, so they are not wide enough.
Step-by-step explanation:
The y-value changes from 10 to 70 as the x-value changes from 0 to 10. That makes the slope (70 -10)/(10 -0) = 6, and the y-intercept = 10.
Selection A is the appropriate equation.
Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
Answer:
Step-by-step explanation:
Shift 1 unit right and 5 units down