Answer: As GH moves, the reflected image changes its position with respect to the position of the line. The polygons will touch one another if the line of reflection touches polygon ABCD.
Answer:
d=3 and e=-1
Step-by-step explanation:
d+e=2
d=2-e-----(1)
d-e=4-----(2)
substituting (1) in (2)
2-e-e=4
-2e=2
e=-1-----(3)
substituting (3) in (1)
d=2-(-1)
d=3
Answer: 36
Step-by-step explanation:
1) Find the prime factorization of 12
12=2*2*3
2) Find the prime factorization of 18
18=2*3*3
3) Multiply each factor the greater number of times it occurs in the first two steps above to find the LCM.
LCM=2*2*3*3
4) LCM=36

keep in mind that, a negative coefficient to "x", will make the graph reflect over the y-axis.
Answer:
Factor by which kinetic energy increase = 4 times
Step-by-step explanation:
Given,
- Mass of the car, v1 = 1500 kg
- initial speed of car = 35 miles/h

= 15.64 m/s
Initial kinetic energy of the car is given by,


= 183606.46 J
- Final velocity of car v2 = 70 miles/hour

= 31.29 m/s
So, final kinetic energy of car is given by


= 734425.84 J
Now, the ratio of final to initial kinetic energy can be given by,

Hence, the kinetic energy will increase by 4 times.