Answer:
-i/2
Step-by-step explanation:
Recall that i² = -1.
z² + 1 factors into (z + i)(z - i), and so the original expression reduces as follows:
z - i 1
--------------- = --------- for z not equal to i
(z + i)(z - i) z + i
Now attempt to find the limit as z approaches i of the above rational fraction. The limit is
1 1 1
--------- = ------ which, if rationalized, becomes ------- (-i), or -i/2
i + i 2i 2
Answer: E.) 41.95m
Step-by-step explanation:
Area (A) = 85 square meters
Length (L) = a
Width (W) = (a - 10) meters
Area of rectangle(A) = Length (L) × Width (W)
85 = a × (a - 10)
85 = a^2 - 10a
a^2 - 10a - 85 = 0
Using quadratic equation solver :
a = 15.488088482 or a = −5.488088482
Since a cannot be negative, a = 15.49m
Therefore, Length (L) = 15.488m
Width(W) = a - 10 = (15.488 - 10) = 5.488m
Perimeter of rectangle(P) :
P = 2 (L + W)
P = 2 (15.488 + 5.488)
P = 2(20.976)
P = 41.952m
P = 41.95m
Answer: three stacks each eleven books.
The perimeter of the traingle is 24
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Just use similar triangles.
12/10 = 72/x
Now solve for x.
x = 72 * 10 / 12 = 60
