All categories

3 years ago

Simplify: (5 + 2i) + (-5 + i)

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

8 0

<span>(5 + 2i) + (-5 + i)
= </span><span>5 + 2i - 5 + i
= 3i

hope it helps</span>

You might be interested in

(sqrt3-sqrt3i)^4

Ludmilka [50]

The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.

<h3>Absolute values of the complex numbers</h3>

The absolute values of the complex numbers are determined as follows;

(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

$|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}$

(-1+sqrt3i)^12 = (-1 + √3i)¹²

$|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2$

(sqrt 3-i)^6 = (√3 - i)⁶

$|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2$

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

$|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2$

(sqrt2-i)^6 = (√2 - i)⁶

$|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}$

Increasing order of the complex numbers;

(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.

Learn more about complex numbers here: brainly.com/question/10662770

#SPJ1

3 0

3 years ago

Ella is a landscape photographer. One weekend at her art gallery she sells a total of 52 prints for a total of $2,975. How many

abruzzese [7]

Answer:

Ella sold the each print for the cost of $57.21.

Step-by-step explanation:

The total number of prints sold at gallery = 52

Total amount it is sold for = $2,975

Noe, If 52 prints are sold for $2,975.

⇒ $\textrm{Cost of 1 print} = \frac{\textrm{Total cost of 52 prints}}{\textrm{52}}$

$= \frac{2,975}{52} = 57.21$

or, Cost of 1 print = $57.21

So, Ella sold the each print for the cost of $57.21.

4 0

3 years ago

HELP!!!TEST NEEDS TO BE TURNED IN AT 11:30!!!!

Morgarella [4.7K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Question options: (1, 4.5) (2, 1.5) (1.5,2) (6,4)

sweet [91]

Answer:

(1.5,2)

Step-by-step explanation:Its the only one furthest away from the rest

4 0

3 years ago

Write an expression that shows how to use the halving and doubling strategy to find 28 x 50

Anna71 [15]

Multiply the values then either divide by 2 or multiply by 2

4 0

3 years ago