Answer:
-x - 3
Step-by-step explanation:
Answer:
b = 8
Step-by-step explanation:
Use the Pythagorean theorem
c^2 = a^2 + b^2
c = 10
a = 6
b = ?
Substitute into the formula
10^2 = 6^2 + b^2
100 = 36 + b^2 Subtract 36 from both sides
100 - 36 = b^2 Combine
64 = b^2 Take the square root of both sides.
√64 = √b^2
b = 8
Answer:
18
Step-by-step explanation:
For this problem, we will simply plug in the values of a and b into the respective variables in the expression 3ab to "evaluate" the expression.
a = 2; b = 3
3ab
Note, that when variables like a and b are smashed with a constant, the use of multiplication is in play.
3ab = 3 * a * b
With this in mind, let's plug in the values of a and b into the expression.
3ab
= 3 (2) (3)
= 3 (6)
= 18
Hence, 3ab evaluated when a=2 and b=3 is 18.
Cheers.
Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
