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
shepuryov [24]
3 years ago
6

Can someone help me please

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

9514 1404 393

Answer:

 IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

  B +D = (-2+6, -9-3) = (4, -12)

  C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

__

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

You might be interested in
Yardı m eder misiniz? ​
IceJOKER [234]

Answer:

sorry I couldn't understand the language so I can't give u ans..

5 0
3 years ago
Long addition for integers
Oliga [24]
-9 + 6 + (-7) +3=
-9 +6 = -3
-3 + (-7)= -10
-10 +3= -7
8 0
3 years ago
Read 2 more answers
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are
tankabanditka [31]

The coordinates of point B' are (-3, 6).

<h2>Given that</h2>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

<h3>We have to determine</h3>

What are the coordinates of B' after the translation?

<h3>According to the question</h3>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)

Therefore, the coordinates of point B' are (-3, 6).

To know more about Transformation click the link given below.

brainly.com/question/26297555

6 0
3 years ago
What is 1/6 plus 3/8 all together
zloy xaker [14]
\frac{1}{6} + \frac{3}{8} = \frac{1\times 4}{6\times 4} + \frac{3\times 3}{8\times 3} = \frac{4}{24} + \frac{9}{24} = \frac{9+4}{24} = \boxed{\frac{13}{24}}}
7 0
3 years ago
Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
Other questions:
  • You have a sample of participants and collected data on their monthly income; they reported the exact amount of income that they
    14·1 answer
  • I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY.........Please help
    8·1 answer
  • A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car tr
    9·2 answers
  • Find the slope and y-intercept in the equation.<br> 2x+4y=9
    10·1 answer
  • 1.95(6.2-3x)-4.81=18.46
    14·1 answer
  • You have $2,000 on a credit card that charges a 16% interest rate. If you want to pay off the credit card in 5 years, how much w
    10·1 answer
  • Find the equation of the line that is parallel to the given line and passes through the given point.
    6·1 answer
  • 6. Six people are running a race. In how
    14·2 answers
  • Which of the following numbers is irrational?
    7·2 answers
  • will give brainliest! pls help and give a quick summary for each.. i am learning trig but i really don't understand anything
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!