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
Simora [160]
3 years ago
8

In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7), then demonstrate that ABCD is a

rectangle.
Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

ABCD is a rectangle

Step-by-step explanation:

∵ A = (-5 , 0) , B = (2 , -6) , C = (8 , 1) , D = (1 , 7)

∵ The x-coordinate of the mid-point of AC = (-5 + 8)/2 =3/2

∵ The y-coordinate of the mid-point of AC = (0 + 1)/2 = 1/2

∴ The mid-point of AC = (3/2 , 1/2)

∵ The x-coordinate of the mid-point of BD = (2 + 1)/2 =3/2

∵ The y-coordinate of the mid-point of BD = (-6 + 7)/2 = 1/2

∴ The mid-point of BD = (3/2 , 1/2)

∴ The mid-point of AC = The mid-point of BD ⇒ (1)

∵ AC = √[(8 - -5)²+(1 - 0)² = √170

∵ BD = √[(1 - 2)²+(7 - -6)² = √170

∴ AC = BD ⇒ (2)

From (1) and (2)

AC and BD equal each other and bisects each other

∴ ABCD is a rectangle

You might be interested in
If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time
Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur.  Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

In addition, statistically, null hypothesis signifies no major difference between the specified parameters, and any obvious difference that might occur as a result of experimental error. Thus, it can be concluded that the event is occurring one or fewer times in 100 times if the null hypothesis is true.

3 0
3 years ago
If the length of the cord is l, determine the coordinates
LekaFEV [45]
Yes it determine the length
3 0
2 years ago
Grace is making holiday cards. Each rectangular card has an area of 28 square inches and the length is 3 inches more than the wi
melomori [17]
Length=7
Width =4
Area = length x width
3 0
3 years ago
Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a
Delicious77 [7]

Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to 1000+300x

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to 2500+150x

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve 1000+300x=2500+150x

1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10

So, both Wolverine and James Bond will have paid the same amount after 10 months.

5 0
3 years ago
What is the value of x and y?
KengaRu [80]
The Answer is B. because if you look at the answer choices on graph 
5 0
3 years ago
Other questions:
  • Point charges q1 = 2.0 µc and q2 = 4.0 µc are located at →r 1 = (4.0 i ^ − 2.0 j ^ + 5.0k ^ )m and →r 2 = (8.0 i ^ + 5.0 j ^ − 9
    12·1 answer
  • Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area:
    6·1 answer
  • How many real number solutions are there to the equation 0=-3x^2 + x -4
    14·1 answer
  • 5 pounds of rice at a store cost $6.50 use the ray tool to graph the cost C, vs pounds of rice
    12·1 answer
  • A metal worker makes a box from a 15inch by 20inch piece of tin by cutting a square with a side length x out of each corner and
    11·1 answer
  • Decide wether the function is one to one y=8x-6
    9·1 answer
  • Can someone help me with this problem! I WILL GIVE A BRAINIEST!!! I need it asap PLEASE.
    11·1 answer
  • Who wants to do an algebra 1 assignment for me? I will email you the pdf
    8·2 answers
  • The library is located at (-4, 5) and the school is located at (4,5). If each unit on the coordinate plane represents ¼ of a mil
    7·1 answer
  • I’m confused on this
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!