Answer:
Step-by-step explanation:
12C = 36
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
if a > 0, there are two possible solutions:

the square root of a square is the base in absolute value bars


if a = 0, that means x = 0. anything multiplied by 0 is 0
if a < 0, there are no solutions because anything squared has to be positive
Answer:
80%
Step-by-step explanation:
Percent increase is calculated as
× 100%
Increase = $27 - $15 = $12 , then
percent increase =
× 100% = 0.8 × 100% = 80%
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that:
.
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.

AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16