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.
I'm pretty sure it is.
If i'm wrong, I'm truly sorry
Answer:
The product of the tens in these two numbers is 4
Step-by-step explanation:
TO find this, first we need to find the number in the tens place for each of them. The tens place is the second from the decimal point.
14
42
Now we take these two and multiply them together to get the product.
1 * 4 = 4
Answer:
The formula for the vertex of the parabola is -b/a. Plugging this in we get -(-4)/1 or 4.