Answer:
18x
Step-by-step explanation:
The HCF is the highest factor common to both expressions. We can find it by factoring both expressions and identifying common factors.
<h3>Factorization</h3>
36(x³+x²y-12xy²) = 18x·2·(x +4y)(x -3y)
54(x³y+4x³y²-21xy) = 18x·3y·(x +7)(x -3)
The highest common factor is 18x.
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: D
Step-by-step explanation: A large desert or group of deserts extending from Mauritania to Egypt
