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.
Answer:
y = 1.5x + 3.2009
Step-by-step explanation:
I plotted your points and drew a linear regression line.
Its equation is
y = 1.5x + 3.2009
The regression line ignores the fact that the points fall along a smooth curve.
A parabolic regression line fits the data much better.
The equation for that line is
y = - 0.1647x² + 4.1357x - 5.6946
It is the equation for a vertical parabola opening downward.
Answer:
A. finished 1km
Step-by-step explanation:
b. 8km per hour
