Answer:
12 - 4i
Step-by-step explanation:
-2i ( 2+6i)
Distribute
-2i * 2 + -2i *6i
-4i - 12 i^2
We know that i^2 = -1 so replace it
-4i - 12(-1)
-4i + 12
Then put in the order a+bi where the real number comes first and the imaginary number comes last
12 - 4i
It's a little hard to see but it looks like A
hope that helps :)
Answer:
f(x) = 
Step-by-step explanation:
The given options are,
a) f(x) =
b) f(x) = 
c) f(x) = 
d) f(x) = 
Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,
1. f(x) → 0 as x → - ∞ and
2 f(0) = 1
so, the correct answer is,
f(x) =
Answer:
SA = 156π
Step-by-step explanation:
The formula for surface area of a cylinder is
SA = 2πr² + 2πrh where r is the base radius, and h is the height.
We are given r = 6 and h = 7. Plug in those values and evaluate...
SA = 2π(6²) + 2π(6)(7)
SA = 2π(36) + 2π(42)
SA = 72π + 84π
SA = 156π
Answer:
249 centimeters squared
Step-by-step Explanation:
The area of the rectangle: l x w, where l is the length and w is the width.
= 15.5 x 18
= 279
Area of the smaller rectangle: l x w, where l is the length and w is the width.
= 4 x 7.5
= 30
We do not need this 30.
Area of the shaded region:
= 279 - 30
= 249 cm²
