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
jekas [21]
3 years ago
11

A quadrilateral is graphed on a coordinate plane. If the vertices are A(2, 6), B(6, 0), C(2, –6) and D(–4, 0), which two points

are farthest apart?

Mathematics
2 answers:
Alik [6]3 years ago
6 0

Check the picture below.

Alisiya [41]3 years ago
3 0

Answer:  A(2, 6) and C(2, -6)

Step-by-step explanation:

The distance between any two points is given by :-

d=\sqrt{(d-b)^2+(c-a)^2}

Given vertices : A(2, 6), B(6, 0), C(2, -6) and D(-4, 0)

Then,

AB=\sqrt{(0-6)^2+(6-2)^2}=\sqrt{(-6)^2+(4)^2}=\sqrt{36+16}\\\\=\sqrt{52}\approx7.211

BC=\sqrt{(-6-0)^2+(2-6)^2}=\sqrt{(-6)^2+(-4)^2}=\sqrt{36+16}\\\\=\sqrt{52}\approx7.211

CD=\sqrt{(0-(-6))^2+(-4-2)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{36+36}\\\\=\sqrt{72}\approx8.485

AD=\sqrt{(0-2)^2+(-4-6)^2}=\sqrt{(-2)^2+(-10)^2}=\sqrt{4+100}\\\\=\sqrt{104}\approx10.198

AC=\sqrt{(-6-6)^2+(2-2)^2}=\sqrt{(-12)^2}=\sqrt{144}\\\\=\12

BD=\sqrt{(0-0)^2+(-4-6)^2}=\sqrt{(-10)^2}=\sqrt{100}\\\\=10

Since, points A and C has the largest distance between them.

Therefore, the points A and C are the farthest points.

You might be interested in
The school gym can hold 650 people. A permanent bleacher in the gymn holds 136 people. The event organizers are setting up 25 ro
igomit [66]
650 -136=514
514 divided by 25 = 20.56
So it would be 21
This will give you a little extra chairs but they have to be equal in each row
3 0
3 years ago
For what value of x is the parallelogram a rhombus.
Stells [14]

Answer:

Step-by-step explanation:

2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°

22x + 26 = 180

22x = 154

x = 7

4 0
2 years ago
Ms. Watson receives a base pay of $150, plus a commission of $45 on each appliance that she sells. Her total pay depend on how m
Julli [10]
<span>This is asking for a linear function. The base pay is $150, so even if she sells nothing, she cannot be paid less than $150. Because of this, we make that out y-intercept. The number of appliances sold is a variable, so we make that the "X" and multiply that by the amount made ($45) on each additional item sold. You then follow the Order of Operations (PEMDAS) to make your equation.</span>
7 0
3 years ago
What is the unit rate of five and 15?
-BARSIC- [3]
For miles... 0.333333 Miles per Mile
6 0
2 years ago
4(PX+1)=64 what is the value of x in terms of p and what is the value of x when p is -5 ?
Oksana_A [137]

Answer:

x = -3

Step-by-step explanation:

4(PX+1)=64\\\\p= -5

Substitute -5 for p in the given equation and solve

4(-5(x)+1)=64\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4\left(-5x+1\right)}{4}=\frac{64}{4}\\\\Simplify\\-5x+1=16\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\-5x+1-1=16-1\\\\Simplify\\-5x =15\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5x}{-5}=\frac{15}{-5}\\\\Simplify\\x = -3

4 0
2 years ago
Other questions:
  • Can you put a restriction on a horizontal line segment?
    12·1 answer
  • Write the slope intercept form of the equation of the line through the given point with the given slope
    13·1 answer
  • Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and
    8·1 answer
  • Which of the following statements is true?
    10·1 answer
  • brian borrowed $12,500 from the bank at an annual simple interest of 6.5%. if he repaid the loan in five years, how much did he
    9·1 answer
  • 2. Find the slope of the line.
    9·1 answer
  • PLS HELP
    15·1 answer
  • In your own words, explain 3 or more sentences "how do you multiply rational number?" Tell how the signs, negative and positive,
    8·2 answers
  • Helppp pleaseeeee !!
    15·1 answer
  • Write in the missing numbers.<br> ordering intergers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!