Yes it is because 18÷6 is 3 and 6×3=18
Answer:
X = X
Step-by-step explanation:
Answer:
109°
Step-by-step explanation:
subtract 180 from 71 and you will get 109°
3 units down would be subtracting 3 from the Y values and 4 units left would be subtracting 4 from the X values
Point A is at (2,-1)
The new point would be at (2-4, -1 -3) = (-2,-4)
Point B is at (1,-4)
The new point would be at (1-4, -4 -3) = (-3,-7)
Point C is at (3,-5)
The new point would be at (3-4, -5-3) = (-1,-8)
Point D is at (5,-3)
The new point would be (5-4, -3-3) = (1,-6)
So the new location would be:
A' (-2,-4)
B' (-3,-7)
C' (-1,-8)
D' (1,-6)
Answer:
she should beat a speed of v₂ = 6.04 m/s in order to win the competition
Step-by-step explanation:
Since the momentum p is defined as
p = m*v
where
m= mass of the ball
v= velocity of the ball
denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler
p₂=p₁
therefore
m₁*v₁ = m₂*v₂
v₂ = v₁ * (m₁/m₂)
replacing values
v₂ = v₁ * (m₁/m₂) =8.6 m/s * (4.5 kg/6.4 kg ball) = 6.04 m/s
then since the momentum p = m*v increases with increasing v (at constant m) , she should beat a speed of v₂ = 6.04 m/s in order to win the competition