Step-by-step explanation:
=(2+4i)+(-5+2i)
=2(-5+2i)+4i(-5+2i)
= -10+4i-20i+8i²
= -10-16i+8i²
hope it helps.
Answer:
4
Step-by-step explanation:
gradient=vertical distance /Horizontal distance
G=V/H
G = -4/-1
G =4
C= two step equations require all number to be whole number in order to solve.
Here is an example that disproves that:
.5x + 8= 18
<u> -8 -8</u>
<u>.5</u>x = <u>10
</u>.5 .5
x = 20 (.5 is certainly not a whole number but I solved it anyway)
Answer:
(a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
(b) A series is convergent if the sequence of partial sums is a convergent sequence, that is tends to a limit.
A series is divergent if it is not convergent.
Step-by-step explanation:
(b) An example of a divergent series is the arithmetic series 2+ 4+6+8+10+...
The sum keeps increasing without bounds.
An example of a convergent series is 100 + 50, +25 + 12.5 +... a geometric series with common ratio 0.5 whose sum tends to a limit. The limit of this series is a1 / (1 - r) = 100 / (1 - 0.5) = 200.
Answer:
C) 24√2
Step-by-step explanation:
The distance between the points is the radius of the circle. Use distance formula:
d² = (x₂ − x₁)² + (y₂ − y₁)²
d² = (5 − 2)² + (2 − 5)²
d² = 3² + 3²
d = 3√2
The radius of the circle is 3√2. The diameter of the circle is 6√2, so the side length of the square is 6√2. Therefore, the perimeter is 24√2.