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2 years ago

What is the sum of 12 – 5i and –3 4i? –16 63i 9 – i 9 – 9i 15 – 9i

Mathematics

1 answer:

Anarel [89]2 years ago

6 0

The sum of the complex number 12 – 5i and –3 + 4i is 9 - i

<h3>How to sum complex number?</h3>

The sum of 12 – 5i and –3 + 4i can be done as follows:

Therefore,

12 - 5I + (-3 + 4i)

12 - 5i - 3 + 4i

Hence,

combine like terms

12 - 3 - 5i + 4i

Finally,

9 - i

learn more on complex number: brainly.com/question/10373914

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Casandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25^30.25 m

Vladimir [108]

Answer:

Gold

Step-by-step explanation:

Casandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25 cubic meters. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins.

What kind of metal are the coins made of?

Bronze (8700 kg per cubic meter)

Silver (10500 kg per cubic meter)

Lead (11300 kg per cubic meter)

Gold (19300 kg per cubic meter)

Density is mass per volume:

D = M / V

D = (4825 kg) / (0.25 m³)

D = 19,300 kg/m³

The coins must be made of gold.

4 0

3 years ago

from point a leah walked 40 yards south, 60 yards west, 10 yards north, and 20 yards east to point b. what is the length, in yar

nataly862011 [7]

Let's say $A = (0, 0)$ . Let's find point $B$ so that we can find $\overline{AB}$ .

Leah walks 40 yards south. $B = (0, 0 - 40) = (0, -40)$
Leah walks 60 yards west. $B = (0 - 60, -40) = (-60, -40)$
Leah walks 10 yards north. $B = (-60, -40 + 10) = (-60, -30)$
Leah walks 20 yards east. $B = (-60 + 20, -30) = (-40, -30)$

We have found that $B = (-40, -30)$ .

Now think about this scenario visually. We started at the center of something, which we call point $A$ , and then started moving around until we got to point $B$ . We can then form line $\overline{AB}$ between the points. However, realize that we can actually make a triangle. Just think of one of the legs as part of the x-axis and the other leg as part of the y-axis.

We can find the length of these parts, which is simply the absolute value of the coordinates of point $B$ . It may be a little hard to think about, but essentially, we can form a triangle with sides that consist of part of the x-axis, part of the y-axis, and $\overline{AB}$ . We also know that the lengths of the legs are 40 and 30.

Since we are given the two lengths of the legs on the triangle and trying to find the length of the hypotenuse, we can use the Pythagorean Theorem. This states:

$a^2 + b^2 = c^2$

$a$ and $b$ are the lengths two legs of the triangle
$c$ is the length of the hypotenuse

Thus, substituting in our values, we find:

$40^2 + 30^2 = (\overline{AB})^2$

$\overline{AB} = \sqrt{40^2 + 30^2} = \sqrt{2500} = 50$

The length of $\overline{AB}$ is 50.

5 0

3 years ago

Is point (2,1) on the the line represented by the equation x+2y=5

Sphinxa [80]

To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve

x+2y=5
2+2(1)=5
4=5

Since this statement isn't true, then the point doesn't lie on the line

Hope this helps

6 0

3 years ago

Read 2 more answers

What is x+87.39=284.9643

Illusion [34]

Answer:

x=4.956 im pretty sure

Step-by-step explanation:

3 0

3 years ago

A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio

Naya [18.7K]