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:
5x^4−160x^2+4/2x^2
Step-by-step explanation:
5x/2 x−16+2/x^2−64
5/2x^4−80x^2+2/x^2
5x^4−160x^2+4/2xx
5x^4−160x^2+4/2x^2
Answer:
x = -4, 5/2
Step-by-step explanation:
A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.
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A graph is attached. It shows the solutions to be -4 and 5/2.
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When factored, the equation becomes ...
(2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)
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Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...
x = (-b±√(b²-4ac))/(2a)
x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4
x = {-4, 5/2}
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For ax^2 +bx +c = 0, the solutions must satisfy ...
product of solutions is c/a = -20/2 = -10
Only the first and last choices have this product.
sum of solutions is -b/a = -3/2
Only the first choice (-4, 5/2) has this sum.
Answer:
2929 1/3
in^3
Step-by-step explanation:
The equation for the volume of a sphere is
.
Insert 13 for r. Then, simplify.
Two corresponding sides and two corresponding angles are congruent.