This is tricky
lets try substituting y = √)6x - 9)
√(6 - y) + √(6x + y) = √6
squaring both sides:-
6 - y + 6 + y - 2√(6 - y)(6 + y) = 6
12 - 2√(6 - y)(6 + y) = 6
√(6 - y)(6 + y) = (6-12) / -2 = 3
Squaring both sides:-
(6 - y)(6 + y) = 9
36 - y^2 = 9
y^2 = 27
y = +/-√27
√(6x - 9) = +/- 27
6x - 9 = 729
x = 738/6 = 123
This cannot be a solution because we would have a negative value for the
second square root
I would say that no solution exist.
Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 649, and Frank says that the probability will be17 . Who is correct?
Hello from MrBillDoesMath!
Answer:
3 1/2 (i.e 3.5)
Discussion:
From the attached file, the area of the shaded triangle =
Area = <u>square</u> surrounding triangle -
area triangle 1 - area triangle 2 - area triangle 3
= 4 * 4 -
(1/2) (1 * 1) - (1/2) (3 * 4) - (1/2) (3 * 4)
= 16 - 1/2 - 1/2 (12) - 1/2(12) =
= 16 - 1/2 - 12 =
= 4 - 1/2
= 3 1/2
Where we have used that the area of a triangle =
(1/2) base * height.
Thank you,
MrB
Assuming that the 30 is term #1 ..... The 'n'th term of the series is. T(n) = 33 - 3n or 3 (11 - n).
Answer:
(19, 28)
Step-by-step explanation:
