Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
72
Step-by-step explanation:
Dont worry, these problems are tricky! The answer is 72. All you have to do to find the answer is multiply 12x6. For example, if it was asking '1/8 of ... is 12' then you would multiply 12x8.
Hope this helps! I would really appreciate it if you marked me brainliest! :)
Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when 
given that 
<u>Part B</u>
A vertical compression takes place when given that 
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of 
must be negative such that as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.
Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Answer:
42*3=126
28*5=140
the GCD of 126=2*3*3*7
the GCD of 140=2*2*5*7
2*7
GCD=14
Step-by-step explanation:
