All categories

2 years ago

If (2 − 3i) + (x + yi) = 6, what is x + yi?

Mathematics

2 answers:

Soloha48 [4]2 years ago

7 0

(2 − 3i) + (x + yi) = 6

We add the left hand side

(2+x) + (-3+y)i = 6

6 can be written in a+ib

6 can be written as 6 + 0i

(2+x) + (-3+y)i = 6 +0i

Now we frame 2 equations

2 + x= 6

-3 + y =0

Solve the first equation

2 + x = 6

Subtract 2 from both sides

x = 4

solve the second equation

-3 + y =0

Add 3 on both sides

y= 3

So x+yi is 4+3i

nexus9112 [7]2 years ago

3 0

Answer:

x + yi = 4 + 3i

Step-by-step explanation:

Equation:

(2 − 3i) + (x + yi) = 6

Simple solution:

(2 − 3i) + (x + yi) = 6

= (2 − 3i) + (x + yi) - (2 − 3i) = 6 - (2 − 3i)

= x + yi = 6 - 2 +3i

= x + yi = 4 + 3i

You might be interested in

Determine the volume of the rectangular prism.<br>

Flauer [41]

Answer:

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2 $\frac{1}{2}$ and the height is 2 $\frac{1}{2}$

8 × 2 $\frac{1}{2}$ × 2 $\frac{1}{2}$

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2 $\frac{1}{2}$ = 20

20 × 2 $\frac{1}{2}$ = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

<u>50 ft³ is our final answer</u>

7 0

2 years ago

Solve for x: 3x+7 = 22 *

Lorico [155]

3x+7=22
Subtract 7 to both sides
3x=15
Divide by 3
x=5

4 0

2 years ago

Read 2 more answers

Simplify the rational expression<br> x^2-25÷x^2+x-6 × x+3÷×-5

aliina [53]

Answer:

x - 6

—————

x + 5

Step-by-step explanation:

4 0

2 years ago

C(2, 5), D(3, 1)<br><br> Find the slope of the line that passes through each pair of points.

Tpy6a [65]

Slope=-4 or -4/1

Work:

(2, 5) (3, 1)
x1 y1. x2 y2

M= y2-y1/x2-x1
M= 1-5/3-2
M= -4/1
M=-4

5 0

3 years ago

Help me with a. b. c. I need help

hammer [34]

Answer:

a) Perimeter = 20.5 Inches

Area is 15 Sq Inches

b) Perimeter is 61.4 Cms

Area is 210 Sq cm

c) Perimeter is 22 yards

Area is 21 Sq Yards

Step-by-step explanation:

a) Perimeter = sum of all the sides

= 8+7.5+5

=20.5

Perimeter = 20.5 Inches

Area of Triangle = $\frac{1}{2} \times height \times Base$

Base = 7.5 In

Height = 4 In

$A = \frac{1}{2} \times 4 \times 7.5$

$A = 2 \times 7.5$

$A = 15$

Hence Area is 15 Sq Inches

b) Perimeter = Sum of all the sides

P=13+23+13.4+12

P=61.4

Perimeter is 61.4 Cms

Area of trapezium = $\frac{1}{2} \times height \times (sum \ of \ parallel \ sides)$

$A= \frac{1}{2} \times 12 \times (12+23)$

$A= 6 \times 25$

$A=210$

Area is 210 Sq cm

c) Perimeter = Sum of all the sides

P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram

P = 22

Perimeter is 22 yards

Area of a parallelogram = $base \times height$

$A= 7 \times 3$

$A = 21$

Area is 21 Sq Yards

3 0

3 years ago