By completing the square: x²-8x+19 = (x-4)²-16+19 = (x-4)²+3 so minimum point = (4,3)
By calculus: f'(x) = 2x-8. (minimum point occurs when f'(x)=0 therefore)
2x-8 = 0 means x=4 and the corresponding y value is 3.
The minimum value of this function (y) is 3 and this occurs when x = 4.
According to Figure that is shown below, the correct answer for this problem is:
<span>
B. They are alternate interior angles, so angle 3 also measures 130°. </span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.
Answer:
2.193 cm³
Step-by-step explanation:
density is mass divided by volume:

you can manipulate the formula by multiplying with volume:

then dividing by density:

in this case:

Answer:
D
Step-by-step explanation: I just took the test on edge
(40 seconds) / (2000 rotations) =
(40/2000) (seconds) / (rotation) = 0.02 second per rotation