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
zavuch27 [327]
3 years ago
9

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}

x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}
D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

You might be interested in
What is the sum of 2x^2 and 2x^3
jeyben [28]

For this case we have the following expression:

2x ^ 2 + 2x ^ 3

The terms are not similar, so they cannot be added.

<em>Examples of similar terms:</em>

x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4

Then, the expression given can only be rewritten as:

2 (x ^ 2 + x ^ 3)

This is taking common factor 2 to both terms.

Answer:

2 (x ^ 2 + x ^ 3)

7 0
3 years ago
What is an algebraic expression to find the number of squares in the border of a 75x75 grid?
tigry1 [53]

Answer:

Well, if the grip is 75 x 75, you can rule out that the grid is 75 squares in each border.

Step-by-step explanation:

75 x 75 = a x b

a= horizontal side lengths

b= vertical side lengths

Rule that a= 75 squares and b= 75 squares.

8 0
3 years ago
Graph the points (-3, -0.5) and (-0.5 , 1.5) coordinate plate.​
Mandarinka [93]

Answer:

Hope this helps, if you have any more issues with graphing I recomend Desmos graphing calculator.

8 0
2 years ago
What is the triangle numbers from 1 and 100​
Nata [24]

Answer:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
jackson owns his sister monica monica has a $10 im her pocket explain the meaning of zero in this situation
liq [111]
The meaning of the 0 in this situation is that the 0 is there as a place holder. It is there to support the 1 so it has a bigger value instead of just 1.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Can you write 2x(x-1) as a product and as a sum please? Thank you
    7·2 answers
  • You name to rent a moving truck for A-day you have identified 2 companies that rent trucks company aid charges $45 per day plus
    8·1 answer
  • Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and expl
    12·1 answer
  • A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
    6·1 answer
  • 6x + 14 = 7 - x<br> А.<br> В. ДІ<br> 1<br> D. I<br> NA<br> Huh?
    11·1 answer
  • What is 5 to the 3rd power times 5 to the 6 power
    9·2 answers
  • HELPPP <br> Solve the equation <br> log (2x-3)=2
    13·1 answer
  • NEED HELP………………………………………
    7·2 answers
  • NEED HELP ASAP 2 questions WORTH 50
    10·2 answers
  • What is the slope pls help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!