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
insens350 [35]
2 years ago
7

Points E(-1, -2) and F(4, -2) are the vertices of a square. Give the coordinates of three possible pairs of points for the other

two vertices.
I already got the pairs:
(-1, 3), (4, 3)
(-1, -7), (4, -7)

I have no idea what to do for the third set of points.
Mathematics
1 answer:
777dan777 [17]2 years ago
5 0

The vertices of a square are its endpoints

The coordinates of the other pairs are: (-1, 3), (4, 3)  and (-1, -7), (4, -7)

The given parameters are:

\mathbf{E = (-1,-2)}

\mathbf{F = (4,-2)}

Calculate the distance EF

\mathbf{EF = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{EF = \sqrt{(-1 - 4)^2 + (-2 - -2)^2}}

\mathbf{EF = \sqrt{25}}

\mathbf{EF = 5}

Add 5 to the y-coordinates of E and F

\mathbf{C = (-1,-2+5)}

\mathbf{C = (-1,3)}

\mathbf{D = (4,-2+5)}

\mathbf{D = (4,3)}

Subtract 5 to the y-coordinates of E and F

\mathbf{C = (-1,-2-5)}

\mathbf{C = (-1,-7)}

\mathbf{D = (4,-2-5)}

\mathbf{D = (4,-7)}

Hence, the coordinates of the other pairs are: (-1, 3), (4, 3)  and (-1, -7), (4, -7)

There is no third pair

Read more about vertices at:

brainly.com/question/2791243

You might be interested in
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
I need help for the Iready end of the year test plzzzzzzzzzzzzzz
tresset_1 [31]

Answer: The first option, the one in orange.

Step-by-step explanation:

This is the associative property.

Hope this helps, good luck on the test! :)

3 0
3 years ago
School lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v​
Goryan [66]

Answer:

₱ 550.25

Step-by-step explanation:

₱ 35.50 * 15.5 weeks = ₱ 550.25

5 0
3 years ago
Read 2 more answers
The area of a square is 50 square yards. What is the length, in yards, of one side of the square?
Elena L [17]

Answer:

area \: of \: a \: square =  {x}^{2}  \\ here \:  {x}^{2}  = 50 \\ x =  \sqrt{50}   =  \sqrt{2 \times 25}  = 5 \sqrt{2}  \\ one \: side = 5 \sqrt{2} yard

8 0
3 years ago
A city map uses a scale in which 2.5 centimeters represents 3 kilometers. The distance on the map between the post office and th
marishachu [46]

Answer:

10.8 kilometers

6 0
3 years ago
Other questions:
  • Can someone please solve
    13·1 answer
  • Jon is decorating a panner for a parade. Jon uses a piece of red ribbon witch is 3 4ths yard long. Jon also needs blue ribbon th
    8·1 answer
  • Complete the table to figure out how many buckets of paint Lucy would need to paint 8doors and 12 doors.
    7·1 answer
  • You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. As part of your study, you r
    9·2 answers
  • Which statement about these two triangles is true
    7·2 answers
  • Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 a
    14·1 answer
  • Which expression represents the total volume of the pictures shown if each cube has a side length of e?
    12·1 answer
  • Find the 82nd term of the following sequence.<br><br> -32, -27, -22, ....
    14·1 answer
  • Find the price of one pen if six pens cost$48.
    7·2 answers
  • Get brainly if solve correctly
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!