Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
2x3 - 3x + 4
———————
x2
Step-by-step explanation:
Step 1 :
2
Simplify ——
x2
Rewriting the whole as an Equivalent Fraction :
4.1 Adding a fraction to a whole
Rewrite the whole as a fraction using x2 as the denominator :
x x • x2
x = — = ——————
1 x2
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 5.00
-1 2 -0.50 5.25
-2 1 -2.00 -6.00
-4 1 -4.00 -112.00
1 1 1.00 3.00
1 2 0.50 2.75
2 1 2.00 14.00
4 1 4.00 120.00
Polynomial Roots Calculator found no rational roots
Final result :
2x3 - 3x + 4
————————————
x2
Processing ends successfully
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The answer is 2/3 or 0.66666...
Answer:

Step-by-step explanation:
We have been given the intersection coordinates:
(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t
From the condition of perpendicularity we know:


Now, we have given x=-1+t , y=-2+t and z= -1+t





Now, substituting t in the given coordinates x,y and z we get:


And 