Subtract (3 + 2i) from (-9-8i).

Mathematics

2 answers:

Ainat [17]3 years ago

6 0

Answer:(-12-10i)

Step-by-step explanation: two negatives make a positive (1--1=2)

Salsk061 [2.6K]3 years ago

3 0

Answer:

The answer to your question is -12 - 10i

Step-by-step explanation:

Subtract (3 + 2i) from (-9 - 8i)

Process

To subtract these numbers just subtract the real numbers and subtract the imaginary numbers.

(-9 - 8i) - (3 + 2i)

Simplifying

= (-9 - 3) + (-8i - 2i)

Result

= -12 - 10i

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What is 10^-3 in math

Alborosie

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3 years ago

A city had population 67,255 on january 1, 2000, and its population has been increasing by 2935 people each year since then. A l

irina1246 [14]

We are given: On january 1, 2000 initial population = 67,255.

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Therefore, 67,255 would be fix value and 2935 is the rate at which population increase.

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4 0

3 years ago

Read 2 more answers

A person starts walking from home and walks: 4 miles east 3 miles southeast 3 miles south 4 miles southwest 3 miles east find to

Fantom [35]

A geometry program can show you the total displacement is about 10.14 miles.

_____
You can use a vector calculator to find the solution, too. Using bearing angles, the sum is
4∠90° + 3∠135° + 3∠180° + 4∠225° + 3∠90° ≈ 10.1390∠141.6354°

_____
If you want to do it by hand, you can recognize the sum will be
7 miles east + 3 miles south + 3 miles southeast + 4 miles southwest

Distances that are not in the direction of one of the coordinate axes can be translated to rectangular coordinates by
displacement*(cos(angle), sin(angle))
Angles can be measured in the conventional way—from the positive x-axis. A direction of southeast will be +315° or -45°. A direction of southwest will be +225° or -135°.

Then the sum of the displacements in rectangular coordinates is ...
= (7, -3) + 3*(cos(-45°), sin(-45°)) + 4*(cos(-135°), sin(-135°))
= (7, -3) + ((√2)/2)*((3, -3) + (-4, -4))
= (7, -3) + 0.707107*(-1, -7)
= (6.2929, -7.9497)
Then the Pythagorean theorem is used to find the direct distance from home to this displaced location.
d = √(6.2929² +(-7.9497)²) ≈ √102.7990
d ≈ 10.1390 . . . . miles