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Answer:
The greatest possible value is 54
Step-by-step explanation:
Solve the quadratic equation
Given
x² - 5mx + 6m² = 0
We can rewrite this as
x² - 3mx - 2mx + 6m² = 0
(x² - 3mx) - (2mx - 6m²) = 0
x(x - 3m) - 2m(x - 3m) = 0
(x - 2m)(x - 3m) = 0
x - 2m = 0 or x - 3m = 0
So,
x = 2m or x = 3m .
2m and 3m are the roots of the equation.
Since one of the roots is 36
Assume
2m = 36
m = 36/2 = 18
3m is
3(18) = 54
If 3m = 36
m = 12
And
2m = 2(12) = 24.
The greatest possible value is 54
Answer:
1) See figure attached
2)
a) 
And if we replace we got:
b) 
And if we replace we got:
Step-by-step explanation:
Part 1
We can see the plot in the figure attached.
Part 2
a)
For this case we have two points 
And we want to find the distance travelled between these two points and we can use the following formula from the euclidian distance between two points:
And if we replace we got:
b)
Since it takes two seconds in order to go from (6.9) to (10,15) we can use the definition of velocity:
And if we replace we got:
Answer:
Sphere Volume = (4/3) * PI * radius^3
radius = cube root (Sphere Volume) / (4/3)*PI
radius = cube root (5,600) / (4/3)*PI
radius = 11.016 cm
radius = 11 cm (rounded)
Answer is B
Step-by-step explanation:
