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
dangina [55]
3 years ago
13

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

-7), B(8, -7),A(4,−7),B(8,−7),A, left parenthesis, 4, comma, minus, 7, right parenthesis, comma, B, left parenthesis, 8, comma, minus, 7, right parenthesis, comma and C(8, -3)C(8,−3)C, left parenthesis, 8, comma, minus, 3, right parenthesis. What are the coordinates of point DDD? \large((left parenthesis , \large))right parenthesis
Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3

The coordinates of the fourth vertex is D(4,-3)

You might be interested in
What’s 20% Of 1 million
ser-zykov [4K]
200,000 is 20% of 1,000,000
4 0
3 years ago
Read 2 more answers
Given the equation y - 4 = (x + 8) in point-slope form, identify the equation of the same line in standard form. (1 point)
Alecsey [184]
Y-4=(x+8) = add4 to both sides of the equation, so y= x+8+4 then add like terms. Y=x+12 final answer.
3 0
3 years ago
Below are 36 sorted ages of an acting award winner. Find P80.
blsea [12.9K]
P80 = 36 * 0.80 = 28.8

The above equation shows that the 80th percentile will have 28.8 values below it. So obtaining the 29th value will be the 80th percentile. 

Looking at the given values, P80 = 67.
3 0
3 years ago
Read 2 more answers
Help pls ASAP <br><br> -2x(-3x - 4y - 8)
Novosadov [1.4K]

Answer:

6

2

+

8

+

1

6

Step-by-step explanation:

Distribute

−

2

(

−

3

−

4

−

8

)

6

2

+

8

+

1

6

5 0
3 years ago
Read 2 more answers
Please answer quickly !!!
Dafna1 [17]
Dist from slide to fountain: 200 ft, because they are 2 grid spaces away from each other (y axis, coordinate (-2, 0) to coordinate (-2, -2))

dist from fountain to swings is 700 ft, because they are 7 grid spaces away from each other (x axis, coordinate (5, -2) to (-2, -2))

easy as 3.14159 (pi) xd
8 0
3 years ago
Other questions:
  • Simplify x + 6.2 + 8.5.<br><br> 14.7x<br> x + 14.7<br> 6.2x + 8.5
    12·2 answers
  • Solve. 3w-4z=8 solve.2w+3z=-6
    12·1 answer
  • A baseball has a 45 cm diameter. What is the volume of the contents of the ball?
    14·1 answer
  • Which relationship would most likely have a positive correlation?
    13·1 answer
  • T is 4 more than the product of 7 and s
    9·1 answer
  • Wich are perpendicular lines?
    11·1 answer
  • What's the difference between adding two rational number and get a negative number
    9·1 answer
  • Drew is holding a fund-raiser. He is taking donations from his family members to supports a charity. Each family member donates
    5·1 answer
  • Write an equation that represents the line.<br> Use exact numbers
    9·1 answer
  • The diagram show a circle centre 0. write down the mathematical name of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!