The correct answer is letter <span> D. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. In order for a number to be considered as irrational when there is no possible ratio for that number. Among the four choices, choice D only tells us that the possible ratio or fraction has a denominator of Zero.</span>
Answer:
A ) subtract the second equation from the first equation
Step-by-step explanation:
2x + 3y = 7
2x - 4y = -5
subtracting the second equation from the first equation we get,
7y = 12
y=12/7
This is the correct option
The answer is a.
When you are solving problems like this you would use the equation y^2=4ax. The x and Y would be the coordinates. Based on the equation you have given the coordinates would be (6,12) and (6,-12), (24 is split up evenly between the y-axis).
Then we go on to solve the equation by plugging in the numbers 12^2=4a(6)
144=24a
144/24=24a/24
6=a
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
Eliminate y's
multiply second equaiton by 4
4x+4y=-4
add to first equation
3x-4y=-24
<u>4x+4y=-4 +</u>
7x+0y=-28
7x=-28
divide both sides by 7
x=-4
sub back
x+y=-1
-4+y=-1
add 4 to both sides
y=3
(x,y)
(-4,3)
D is answer