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]
2 years ago
6

Can someone help me please

Mathematics
1 answer:
aleksklad [387]2 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
Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
2 years ago
How to factorise<br><br><img src="https://tex.z-dn.net/?f=%20%7B8x%7D%5E%7B2%7D%20%20-%20%20xy%20-%20%7B7y%7D%5E%7B2%7D%20" id="
kenny6666 [7]
(8x+7y)(x-y) is the answer.
4 0
3 years ago
What is the equation of the polynomial function?
dolphi86 [110]

Answer:

f(x) = (1/2)(x-2)^2(x+1)(x+2)

Step-by-step explanation:

You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.

Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.

However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.

If you would like more tutoring in math or other subjects for FREE, check out growthinyouth.org.

7 0
3 years ago
John and O’Neill are playing a boardgame in which they roll to number cubes. John needs to get some of a on the number cubes to
Pani-rosa [81]

Answer: John is most likely to win.

Step-by-step explanation: John is most likely to win because he can roll the following numbers:

2,6

3,5

4,4

5,3

6,2

Oh Neil Can only roll these numbers

5,6

6,5

So John would most Likely win

6 0
3 years ago
Someone please help it’s for a summative test due today!!
Gnoma [55]

Answer: 100.48 cm

hope this helped :)

7 0
2 years ago
Other questions:
  • RSTU is a kite, mR = 150, and mS = 50. Find mT
    7·2 answers
  • The dimensions in inches of a shipping box at You Bring It, We Ship It can be expressed as width x, length x + 5, and height 3x
    11·2 answers
  • How many extraneous solutions does the equation below have? StartFraction 2 m Over 2 m + 3 EndFraction minus StartFraction 2 m O
    7·2 answers
  • Sharon needs 3.5 yards or fabric to make a dress for herself and 2.25 yards of the same fabric to make a matching dress for her
    15·1 answer
  • I'd appreciate it if you were to help me! (20 pts)
    11·1 answer
  • , list the first 5 multiples and all the factors of 36
    14·2 answers
  • Naomi is 16 and she would like to open a savings account. What should she do?
    15·2 answers
  • Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
    8·2 answers
  • The two prisms below are similar. What is the value of x?
    8·2 answers
  • One batch of walnut muffins uses 1į cups of walnuts. How many cups of
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!