1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lemur [1.5K]
3 years ago
7

What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?

Mathematics
2 answers:
ira [324]3 years ago
6 0

Answer:

5

Step-by-step explanation:

The complex number 4 + 2i on the complex plane has coordinates (4,2) and the complex number 7 - 2i has coordinates (7,-2). Thus, the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is

\sqrt{(4-7)^2+(2-(-2))^2}=\sqrt{(-3)^2+4^2}=\sqrt{9+16}=\sqrt{25}=5.

8_murik_8 [283]3 years ago
3 0

Answer:

5

Step-by-step explanation:

From question statement , we observe that

Two end points of a line segment are given we have to calculate the length of the line segment.

On complex plane,we represent 4+2i as coordinate (4,2) and 7-2i as coordinate (7,-2).

We use distance formula to calculate the length of a line segment.

length = √(x₂-x₁)²+(y₂-y₁)²

Putting given values in above formula , we get

length = √(7-4)²+(-2-2)² = √(3)²+(-4)²

length = √9+16 = √25 = 5

Hence, the length of a segment with end points at 4+2i and 7-2i is 5.


You might be interested in
Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?
frez [133]
A rectangular prism is defined by three lengths.

We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our <em>volume</em>.

Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.

To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
<em>(3 × 6 × 1 is a repeat.)</em>
3 × 3 × 2 is new, though
<em>(2 × 9 × 1 is a repeat...)
</em><em>(2 × 3 × 3 is a repeat...)
</em>(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)
<em>
</em>
There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.
4 0
3 years ago
Plz help me with this
Genrish500 [490]

Answer:  D) 10 sin (πx) - 5

<u>Step-by-step explanation:</u>

The range (maximum - minimum) is 5 - (-15) = 20

The amplitude (A) is range (20) ÷ 2 = 10

The vertical shift (D) is maximum (5) - amplitude (10) = -5

Of the given options, only A & D are candidates.  Now we need to decide if it is a cos graph (A) or a sin graph (D).  If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin.  Thus it is a sin graph and the answer must be option D.

7 0
3 years ago
HELP PLEASE<br><br> Simplify the expression where possible. (-5x 2) 3
abruzzese [7]

Answer:

(-5x2)•3=

-15x^2

3 0
3 years ago
Is -2.74 a rational number?
Zinaida [17]
Yes, i<span>n mathematics, a </span>rational number<span> is any </span>number<span>that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.</span>
5 0
3 years ago
Read 2 more answers
What is the product of (–22.1)(–5.6)?<br> –123.76 <br> –27.7<br> 27.7 <br> 123.76
Neporo4naja [7]
The answer is 123.76

Hope I can help you (≧∇≦)
6 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate 7 + (-4x2) for x = 0
    9·2 answers
  • A banana has 85 calories. This is 10 calories less than one eighth of the calories in a banana split. How many calories are in a
    12·2 answers
  • Alysha has a collection of some and nickel rolls that she’d like to take to the bank. Each dime roll has 50 dimes and each nicke
    12·1 answer
  • The center of the circle is at (-3,1) and it's radius is 9. What is the equation of the circle?
    13·2 answers
  • When you convert do multiply or divide
    10·2 answers
  • Help me answer a-d please it do tomorrow
    14·1 answer
  • PLEASE HELP ME ASAP WITH STEPS 27 POINTS AND BRAINLIEST! The area of a rectangle is given by the expression 8x 3 − 2x 2 − 11x +
    11·1 answer
  • Please help !! giving brainiest to whoever helps
    14·1 answer
  • A) If there were 3 elephants at the zoo, how many hippos would there be?
    14·2 answers
  • Options:<br> • Line A<br> • Line B<br> • Line C<br> • Line D<br> I’ll give you brainlest!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!