(1 + i)/(1 + 2i)
To simplify this, we need to multiply both sides by the conjugate.
(1 + i)(1 - 2i)
1 - 2i - i - 3i^2
Combine like terms.
3i^2 - 3i + 1
i^2 = -1
-3i - 2 is the simplified numerator.
(1 + 2i)(1 - 2i)
1 - 2i + 2i - 4i^2
1 - 4i^2
i^2 = -2
1 + 4
5
<h3><u>The simplified expression is ((-3i)/5) + ((-2)/5)</u></h3>
Answer:
1 /64 gallon.
Step-by-step explanation:
Number of cherry snow cones made from 1/4 gallons of syrup = 16
If the same amount of syrup is used in each cherry snow cone ;
Amount of syrup used in each cherry snow cone would be :
Gallons of syrup used / number of cherry snow cones made
= 1/4 gallons ÷ 16
= 1/4 * 1/16
= 1 / 64 gallons
For Each cheery snow cone, 1/64 gallon of syrup was used.
We are required to find the percent of an acres is this lot
The percent of acres of the lot is 27.55%
Area of an acre = 4840 square yards
Area of the lot = Length × width
= 40 feet × 100 feet
= 4000 square feet
<em>convert feet to yards</em>
1 foot = 0.333333
4000 square feet = 1333.333 square yards
Therefore,
Area of the lot = 1333.333 square yards
percent of an acres is this lot = 1333.333 / 4840 × 100
= 0.2754820247933 × 100
= 27.548202479338
Approximately,
27.55%
Therefore,
The percent of acres of the lot is 27.55%
Read more:
brainly.com/question/2236179
Answer:
2x^2=-8
2x^2/2=-8/2
x^2=-4
x=2
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY.