Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
- (2 + 3i) + (3 - 4i)
- <u>5 - i</u>
<u>Question 2</u>
- (3 – 5i) – (–2 – i)
- 3 - 5i + 2 + i
- <u>5 - 4i</u>
<u>Question 3</u>
- (2 − 4i)(1+ 3i)
- 2 - 4i + 6i - 12i²
- <u>14 + 2i</u>
<u>Question 4</u>
- 2i(-1 + 3i)
- -2i + 6i²
- <u>-6 - 2i</u>
Answer:
The answer is 23.
Step-by-step explanation:
Our equation here is (2x + y) + 5.
If x=4, and y=10, let's plug that in into our variables, and simplify!
[2(4) + (10)] + 5
= [8+10] + 5
=[18] +5
=23
Answer:
it is many triangles
Step-by-step explanation:
Answer:
Rectangle w=72
Step-by-step explanation:
Rectangle
Solve for
width
w
=
72
cm
l
Length
cm
P
Perimeter
cm
Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
