Hmmm lemme do the first one only
I believe there would be 6 more girls than boys.
Answer:
183.27miles
Step-by-step explanation:
Note that we are considering two planes.
Plane 1
Speed = 140 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
140 mph = distance/2.5hrs
Distance = 140×2.5
= 350miles
Plane 2
Speed = 170 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
170 mph = distance/2.5hrs
Distance = 170×2.5
= 425miles
The angle between side is 25 degree
From cosine rule
c^2 = a^2 + b^2 − 2abcos(tetha)
Where a = 350
b = 425miles
c^2 = 350^2+425^2-2(350×425)(cos25)
c^2 = 122500+180625-297500(0.906)
c^2 = 303125-269535
c^2 = 33590
C = √33590
C = 183.27miles
The distance they flew apart after 2.5hrs is 183.27miles
Answer:
Step-by-step explanation:
1.5x^2+6x+.... so that it can be rewritten in the form a(x+b)^2
Let .... be C
1.5x^2+6x+C
=1.5(x^2+4x+(C/1.5))
Compare above with 1.5(x+2)^2 = 1.5(x^2+4x+4)
C/1.5=4
C=6
So the expression should be 1.5x^2+6x+6
It can be rewritten to 1.5(x+2)^2
