Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Hey there! :)
Answer:
x = 1.117
Step-by-step explanation:
Graph the two equations:
p(x) = 5x² - 3
q(x) = 2x + 1
On the graph below, the positive point of intersection is at (1.117, 3.233).
Positive x-value = 1.117.
Answer:
4
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
_____
<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.
