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MAVERICK [17]
3 years ago
15

Find the distance between the points below. 4 + 3i and 9 – 9i

Mathematics
1 answer:
stich3 [128]3 years ago
7 0

Answer:

13 units.

Step-by-step explanation:

The complex numbers can be thought of as points on the xy plane, where their real part (denoted Re(z)), and their imaginary part (Im(z)) serve as the coordinates for these numbers, and since we know how to calculate distances between points we can calculate the distance between these numbers:

Formula: d(z_1, z_2) = \sqrt{(\Re(z_2) - \Re(z_1))^2 + (\Im(z_2) - \Im(z_1))^2}{} =>\\d(4+3i, 9 - 9i) = \sqrt{(9-4)^2 + (-9-3)^2} = \sqrt{5^2 + 12^2} = \sqrt{169} = \sqrt{13^2} = 13

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What is the simplet form of 7<br> —<br> 12?
inysia [295]

Answer:

-5

Step-by-step explanation:

7−12

=7−12

=7+−12

=−5

6 0
3 years ago
Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jen
lord [1]

Answer:

<em>y=7x+1</em>

Step-by-step explanation:

<u>Linear modeling</u>

Consists of finding a linear equation that represents a situation in real life.

Jenny starts her stamps collection with only 1 stamp.

Then she collects 7 stamps per day.

Let's call

y=total amount of stamps in Jenny's collection

x=number of days

Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:

y=7x+1

5 0
3 years ago
Read 2 more answers
Which is equivalent to 4(x - 1)? <br>x- 4 <br>4x-1 <br>4x - 3 <br>4x - 4​
ser-zykov [4K]

Answer:

4x-4

Step-by-step explanation:

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8 0
2 years ago
Whats the area of a circle with a circumference of 31.4unit
marin [14]

Answer:

78.54

Step-by-step explanation:

first you have to divided 31.4 by 3.14 to get your diameter so you can get your radius. 31.4 divided by 3.14 equals 10 and 10 divided by 2 equals 5 which is you radius.  The formula for area for a circle is πr². 5 squared is 25 and 3.14 times 25 equals 78 .54 which is your answer.

8 1
3 years ago
PLSSS HELP PANICKING
devlian [24]

Answer:

<h2>John has $15 and Alex has $33</h2>

Step-by-step explanation:

a systems of equations can be made from the information on the problem

x+y=48

x=2y+3

since x= 2y+3 substitute 2y+3 in the firat equation to get:

(2y+3)+y=48  -> 3y+3=48 -> 3y=45  -> y=15

plug in 15 for y in the second equation to solve for x

x+15 =48 --> x=33

8 0
2 years ago
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