If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.
When you look at it that way, your two points are simply two points on the x-y plane:
4 - i ===> (4, -1)
-2 + 3i ===> (-2, 3) .
The distance between them is
D = √ (difference in 'x')² + (difference in 'y')²
= √ (6)² + (4)²
= √ (36 + 16)
= √ (52)
= 7.211 (rounded)
Answer:
0,1,2
Step-by-step explanation:
(x+2) = 2((x+1)+(x)
x+2 = 2x+2+2x
x+2 = 4x+2
-x -x
2 = 3x + 2
-2 -2
0/3 = 3x/3
0 = x
100 percent because 45 % is always in between 30 and 50 %
Answer:
11, 14, 17, 20
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Consider 2, 6, 18, 54
6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic
Consider 3, 6, 12, 24
6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic
Consider 11, 14, 17, 20
14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic
Consider 7, 11, 13, 18
11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic
The arithmetic sequence is 11, 14, 17, 20
Answer:
<u>1,216 cm³</u>
Step-by-step explanation:
Volume (composite space figure) = Volume (pyramid) + volume (prism)
- ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
- ⇒ 96 [14/3 + 8]
- ⇒ 96 [14/3 + 24/3]
- ⇒ 96 x 38/3
- ⇒ 32 x 38
- ⇒ <u>1,216 cm³</u>
