Answer:
The real and imaginary parts of the result are
and
, respectively.
Step-by-step explanation:
Let be
, the following expression is expanded by algebraic means:



If
, then:



Then, the variable is substituted in the equation and simplified:






The real and imaginary parts of the result are
and
, respectively.
Answer:
ummm....like this?
Step-by-step explanation:
3*2=6
3*3=9
3*4=12
3*5=15
3*6=18
3,6,9,12,15,18,21,24
i don't know if this is what you mean by here you go
Answer:
≈ 93.06 cm²
Step-by-step explanation:
Subtract the area of the rectangle from the area of the circle
area of circle = πr² = π × 8² = 64π cm²
area of rectangle = 12 × 8 = 108 cm²
Thus
shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )
Answer:
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up
Step-by-step explanation:
Recall,
If f(x) is a parent function:
• Horizontal shift: If h is the horizontal shift then f(x+h)) represents a graph which is formed when the parent graph is transformed to left (when h>0) or to right (when h<0))
• Vertical shift: If h is the vertical shift then f(x)+h represents a graph which is formed when the parent graph is transformed to up(when h>0) or to down (when h<0).
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph transformed 8 units to the right, and transformed 4 units up.
1. expand using place value.
337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0
Next, we will use exponents:
300,000 = 3 * 10^5
30,000 = 3 * 10^4
7,000 = 7 * 10^3
000 = 0 * 10^2
60 = 6 * 10
0 = 0 * 10^0
then after combing these exponents, we can write the number as:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0
Finally, removing the meaningless zeroes, we would end up with:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10