The average rate of change of a function f(x) on the interval [a,b] is given by:
f(b) - f(a)
-------------
b-a
In this specific case, a=2 and b = 3.
f(2) = -3 and f(3) = -1.
Thus, the average rate of change here of f(x) on the interval [2,3] is:
-1 - (- 3) 2
------------- = ------------- = 2 (answer)
3-2 1
(5.91×10^−3)⋅(8.7×10^10)
= (5.91 x 8.7) x 10^(- 3 + 10)
= 51.417 x 10^7
= 5.1417 x 10^8
Answer is
B. 5.1417 × 10^8
Answer:
16
Step-by-step explanation:
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
we must do the following:
0
1
2
3
4
5
6
7
8
9
select the major, the minor and the half and add, like this:
therefore:
also:
the groups are:
(9,0,1,5); (7,6,2); (8,4,3)
