(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:
$677.18
Step-by-step explanation:
Data provided in the question:
Bill’s nominal income in 1990 = $1,009 per month
CPI value in the year 1990 = 149
CPI value in the year 2017 = 192
Now,
The Consumer price index ( CPI ) is given as :
CPI =
thus,
for the given case of year 1990
149 =
or
Real income in 1990 =
or
Real income in 1990 = $677.18
Answer:
The inequality to represent the situation is
and the team must sell at least
"Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for
each.
If the football team needs to raise at least
for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold
"Jaguar Cards" for
each.
Now, the football team needs to raise at least
for equipment.
So, the inequality to represent the situation is
.
Now, on solving we get,


Hence, the inequality to represent the situation is
and the team must sell at least
"Jaguar Cards".
SA = 1,226 in.² (Hope this helps!)
Value of x is 11
Step-by-step explanation:
- Step 1: Find x when ΔABC ≅ ΔDEC.
When these two triangles are congruent, their corresponding angles and sides will be equal.
⇒ ∠B = ∠E
⇒ 44° = 4x
∴ x = 44/4 = 11