<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be
.
Given, sum is
, difference is
and product is
.
⇒ 
⇒ 


Hence, all three equations are consistent yielding the complex numbers
.
Answer:
The length of the missing piece is 2 ft 3 inches
Step-by-step explanation:
Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.
Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces
That would be;
10 ft - 4 ft 7 inches - 3 ft 2 inches
In a foot there are 12 inches
Thus
10 ft = 10 * 12 = 120 inches
4 ft 7 inches = 4(12) + 7 = 55 inches
3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches
Thus the length of the remaining piece would now be;
120 -55 -38 = 27 inches
That is same as 24 + 3 inches
24 inches = 2 ft
So 27 inches = 2 ft 3 inches
<span>Plato explains that we know geometry by our gain knowledge through recollection. Our soul is what recollects this place hence we came where there exist unchanging truths. Delivered the theory of Forms, according to which the world people know by means of the senses is just an imitation of the eternal, pure, eternal, and fixed world of the Forms.</span>
The number of hours Jeremiah ironed = 10 hours
The number of hours Tristan ironed = 7 hours
<u>Step-by-step explanation</u>:
- Jeremiah can iron = 35 shirts per hour
- Tristan can iron = 20 shirts per hour
- Total work done by both = 490 shirts
Let 'x' be the number of hours Jeremiah ironed.
Let 'y' be the number of hours Tristan ironed.
x+y = 17 ------(1)
35x + 20y = 490 -------(2)
Multiply (1) by 20 and subtract (2) from (1),
20x + 20y = 340
-(<u>35x + 20y = 490</u>)
<u>-15x = -150 </u>
x = 150/15
x = 10
Substitute x=10 in (1)
10+y = 17
y = 7
Daniel because 3/4 is larger than 5/12 if you cross multiply.