Answer:
sin(A) = 3/5. , cos(A) = 4/5
Step-by-step explanation:
sine = opposite/hypotenuse cosine = adjacent/hypotenuse
Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
Hello from MrBillDoesMath!
Answer:
Take you pick below! (either x 8 or x = 7.01, approx, depending how the question is interpreted)
Discussion:
Interpretation 1
If the question is
2^(x -1) = 128, then as 2^7 = 128,
x-1 = 7 so x = 8
Interpretation 2
If the question is (2^x -1) = 128, then..
2^x = 128 + 1 = 129 =>
log(2^x) = log(129) =>
xlog(2) = log(129) =>
x = log (129) / log2 = 7.01
Regards,
MrB
