9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
Answer:
<em>y</em> = (5/3)<em>x</em> - 9
Step-by-step explanation:
First, find the slope (rise over run):
m = (-9 - (-14)) / (0 - (-3)) = (-9 + 14) / (0 + 3) = 5/3
Use the point-slope form equation with the given points (-3, -14):
y + 14 = (5/3)(x + 3)
or optionally in slope intercept form:
<em>y</em> = (5/3)<em>x</em> - 9
It’s the 3rd one because the perpendicular slope of -1/2 would be 2/1 or just 2.
Answer: B. 
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse of a triangle is 
times the leg. If the hypotenuse is 16, and x is the leg, then x is 
, or .
