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Step-by-step explanation:
1/3 divided by 6 can be thought of as 1/3 times 1/6 which equals our answer 1/18
The height of the ball at ground level would be 0 feet.
Set h to 0 and solve for t:
Rewrite the equation as
-5t^2 -2t +49 = 0
Factor -1 out of the equation to get:
5t^2 + 2t -49 = 0
Use the quadratic formula:
-b +/- sqrt(b^2 -4(ac) / 2a
Where a = 5, b = 2 and c = -49
The quadratic formula becomes:
-2 +/-sqrt(2^2 – 4(5*-49) / (2*5)
Simplify to get :
T = -2 +/-sqrt246 / 10
T = 2.936 and – 3.336
Since the time has to be a positive value t = 2.936 seconds.
Rounded to the nearest hundredth = 2.94 seconds.
Answer:
(6, -3)
Step-by-step explanation:
The actual coordinates are x = -6 and y = 3
If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.
So the final x-coordinate is - (-6) = 6
And the final y-coordinate is - (3) = -3
So the coordinates will be (6, -3).
Answer:
x=11/2
Step-by-step explanation:
5x-1=3x+10
2x-1=10
2x=11
x=11/2
