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
yanalaym [24]
3 years ago
13

Calculate perimeter of square

Mathematics
2 answers:
oee [108]3 years ago
4 0

Answer:

It is the measure of one side times 4

Step-by-step explanation:

zaharov [31]3 years ago
3 0
Answer: P = 4a

Explanation:
P is the perimeter.
4 is the number of sides.
A is the length of a side.
When this is all put together, it will give you the perimeter of a square.
You might be interested in
Can someone help me do part two please? It’s very important send a picture or something. I don’t even care if you tell me the st
Nataly_w [17]
<h3>Explanation:</h3>

1. "Create your own circle on a complex plane."

The equation of a circle in the complex plane can be written a number of ways. For center c (a complex number) and radius r (a positive real number), one formula is ...

  |z-c| = r

If we let c = 2+i and r = 5, the equation becomes ...

  |z -(2+i)| = 5

For z = x + yi and |z| = √(x² +y²), this equation is equivalent to the Cartesian coordinate equation ...

  (x -2)² +(y -1)² = 5²

__

2. "Choose two end points of a diameter to prove the diameter and radius of the circle."

We don't know what "prove the diameter and radius" means. We can show that the chosen end points z₁ and z₂ are 10 units apart, and their midpoint is the center of the circle c.

For the end points of a diameter, we choose ...

  • z₁ = 5 +5i
  • z₂ = -1 -3i

The distance between these is ...

  |z₂ -z₁| = |(-1-5) +(-3-5)i| = |-6 -8i|

  = √((-6)² +(-8)²) = √100

  |z₂ -z₁| = 10 . . . . . . the diameter of a circle of radius 5

The midpoint of these two point should be the center of the circle.

  (z₁ +z₂)/2 = ((5 -1) +(5 -3)i)/2 = (4 +2i)/2 = 2 +i

  (z₁ +z₂)/2 = c . . . . . the center of the circle is the midpoint of the diameter

__₁₂₃₄

3. "Show how to determine the center of the circle."

As with any circle, the center is the <em>midpoint of any diameter</em> (demonstrated in question 2). It is also the point of intersection of the perpendicular bisectors of any chords, and it is equidistant from any points on the circle.

Any of these relations can be used to find the circle center, depending on the information you start with.

As an example. we can choose another point we know to be on the circle:

  z₄ = 6-2i

Using this point and the z₁ and z₂ above, we can write three equations in the "unknown" circle center (a +bi):

  • |z₁ - (a+bi)| = r
  • |z₂ - (a+bi)| = r
  • |z₄ - (a+bi)| = r

Using the formula for the square of the magnitude of a complex number, this becomes ...

  (5-a)² +(5-b)² = r² = 25 -10a +a² +25 -10b +b²

  (-1-a)² +(-3-b)² = r² = 1 +2a +a² +9 +6b +b²

  (6-a)² +(-2-b)² = r² = 36 -12a +a² +4 +4b +b²

Subtracting the first two equations from the third gives two linear equations in a and b:

  11 -2a -21 +14b = 0

  35 -14a -5 -2b = 0

Rearranging these to standard form, we get

  a -7b = -5

  7a +b = 15

Solving these by your favorite method gives ...

  a +bi = 2 +i = c . . . . the center of the circle

__

4. "Choose two points, one on the circle and the other not on the circle. Show, mathematically, how to determine whether or not the point is on the circle."

The points we choose are ...

  • z₃ = 3 -2i
  • z₄ = 6 -2i

We can show whether or not these are on the circle by seeing if they satisfy the equation of the circle.

  |z -c| = 5

For z₃: |(3 -2i) -(2 +i)| = √((3-2)² +(-2-i)²) = √(1+9) = √10 ≠ 5 . . . NOT on circle

For z₄: |(6 -2i) -(2 +i)| = √((6 -2)² +(2 -i)²) = √(16 +9) = √25 = 5 . . . IS on circle

4 0
3 years ago
Marty used the graph to determine if he should go to the beach on vacation. He did not want to go if there were more than 500 pe
slega [8]

Answer:

d

Step-by-step explanation:

he is benifeting from both

6 0
2 years ago
Read 2 more answers
Hurry please!!! Quickly! I have to turn this in in 3 minutes---this is the last problem!!!<br> thx
Mama L [17]

1 = 84

3 = 252

7 = 588

10 = 840

5 0
2 years ago
Read 2 more answers
Can someone help me with my algebra homework I have 30 minutes until it's due 6 questions my insta is bahdanz
posledela

Answer:

lete try to help you my insta it's Cruzz_ and other letters

7 0
2 years ago
Am i correct i chose c but i might think is wrong (valid answer only!!)
hoa [83]

Answer:

You are absolutely correct!

Step-by-step explanation:

The correct answer is C!

Hope this helps you realize!

8 0
2 years ago
Other questions:
  • A manufacturing business needs various items to function well. Which is an example of a service?.
    7·2 answers
  • What type of number is 4n
    14·1 answer
  • 19. Suppose carpet costs $20 per square yard. How much will it cost to carpet
    10·2 answers
  • If 40% of Jeanne's friends play kickball on weekends, what fraction of her friends don't play kickball?
    11·2 answers
  • a telephone pole casts a shadow that is 50 feet long. Nearby, an 8-foot-tall traffic sign casts a shadow that is 10 feet long. H
    5·2 answers
  • Write a story problem that can be solved by finding the different of 432906 and 61,827.
    11·1 answer
  • The hour hand of a clock is 3 feet long. How many feet does
    15·1 answer
  • Which equation is not equivalent
    8·1 answer
  • Dividing of Polynomials
    12·2 answers
  • One week, Eva earned $126.00 at her job when she worked for 6 hours. If she is paid the same hourly wage, how much would she mak
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!