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3 years ago

(2+2i)(5+3i) step by step (4 steps)

Mathematics

1 answer:

Anni [7]3 years ago

5 0

Answer: 4 + 16i

Step-by-step explanation:

(2 + 2i)(5 + 3i)

= 2(5 + 3i) + 2i(5 + 3i) combine the two factors by multiplication

= 10 + 6i + 10i + 6i² distribute

= 10 + 6i + 10i + 6(-1) substitute -1 for i²

= 4 + 16i add like terms (6i + 10i)

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Write the number of measures (sides/angles/diagonals) needed to construct the following :

gladu [14]

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:each angle is 90 degrees

: 4 diagonals

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2 years ago

The graph for the first equation of a system is shown in orange. The second equation is: 3y+30=6x What is the solution to the sy

Alik [6]

Answer:

Step-by-step explanation:

(1,-8) sorry if you needed an explanation i am not good at that. Hope this helped!!

7 0

3 years ago

Read 2 more answers

A dog has a 25 ft leash attached to a corner where a garage and fence meet. When the dog pulls the leash tight and walks from th

dalvyx [7]

Answer: $170^{\circ}$

Step-by-step explanation:

Given

The dog has a 25 ft leash

Arc length is 74.3 ft

Arc length is given by

$l=\dfrac{\theta }{360^{\circ}}\times 2\pi r$

here, r=25 ft

l=74.3 ft

Put the values

$\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}$

The measure of the angle is $170^{\circ}$

7 0

2 years ago

If the 897 step stairwell has 50 landings, how many steps would be between landings

guapka [62]

Answer:

17.94

I think you would do 897 divided by 50. Tell me if im wrong.

8 0

2 years ago

What is the slope of the line on the graph?

Phoenix [80]

Answer:

$m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 6)

Point (3, -6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{-6-6}{3+3}$
Subtract/Add: $m=\frac{-12}{6}$
Divide: $m=-2$

6 0

3 years ago