Answer:
P=14
Step-by-step explanation:
Since P depends on two variables x and y as the sum of the two, then;
P = 3+ 11
P = 14
Answer:
The coordinates of the image of vertex P after reflection is (-7, 4)
Step-by-step explanation:
Given that we are to reflect the point P across the x-axis, we have;
Reflection of a point across the x-axis gives;
When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged such that (x, y) becomes (x, -y)
Therefore, given that the point P = (-7, -4), we have;
Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).
Answer:
The constant force exerted on the ball by the wall is 119.68 N.
Step-by-step explanation:
Consider the provided information.
It is given that the mass of the ball is m = 2.2 kg
The initial velocity of the ball towards left is 7.4 m/s
So the momentum of the ball when it strikes is = 
The final velocity of the ball is -6.2 m/s
So the momentum of the ball when it strikes back is = 
Thus change in moment is: 
The duration of force exerted on the ball t = 0.25 s
Therefore, the constant force exerted on the ball by the wall is:

Hence, the constant force exerted on the ball by the wall is 119.68 N.
Answer: x = 10 y=20
Step-by-step explanation:
You can answer this question by plugging in each equation:
2x=y, x+y=30. Let us plug y as 2x in the second equation x+y=30
x+2x= 30
3x= 30
x=10
After we found x we can then find y by plugging the 10 for x.
2(10) = y
y =20
or you could plug in the other equation
10+y=30
subtract 10 from 30 and we get 20
to double check we can plug in both numbers
2(10) = 20 which is correct
and 10 + 20 = 30 which is correct