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AURORKA [14]
3 years ago
6

Solve the problem and then click on the correct graph. y = |x|

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

Attachment is correct graph.

Step-by-step explanation:

We are given a equation of line y=|x|

It is absolute function which gives always positive value.

It's vertex at (0,0). This function will break at (0,0)

It is linear equality.

f(x)=\left \{ {-x{\ \ \ \ \ \ x

So, function is break at point x=0

Now we make tale of x and y

    x       y  

   -3       3

   -2       2

   -1        1

    0       0

    1        1

    2       2

    3       3

Now we plot the point on graph and join the points to get graph.

Please see the attachment for correct graph.


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What is the least common multiple (LCM) of 4 and 12?
AleksandrR [38]

Answer:

12

Step-by-step explanation:

6 0
2 years ago
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32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
goblinko [34]

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

  • We have known that the diagonals of a parallelogram bisect each other.  

So, O would be the midpoint of AC as well as that of BD.

A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)

C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)

The midpoint of AC is:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)

=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)

=\left(5,\:2\right)

The midpoint of BD is:

=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)

so

∵  \frac{a+2}{2}=5

a+2=10

a=8

∵ \frac{b+4}{2}=2

b+4=4

b=0

Hence, the fourth vertex is D(8, 0)

4 0
3 years ago
If ABCD (shown below) is a parallelogram, what is the measure of angle ABC?​ ​
yarga [219]

Answer:

B

Step-by-step explanation:

  • From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.

9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

25x + 5 = 180

25x = 180 - 5

25x = 175

\frac{25x}{25}  =  \frac{175}{25}

x = 7

  • now let's substitute in the angle < DCB( 16x):-16 × 7= 112
  • To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180

<ABC + 112 = 180

< ABC = 180 - 112

< ABC = 68

IT WAS SO DIFFICULT TO EXPLAIN WITH PHONE BUT I TRIED MY BEST

hope it helps

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3 years ago
Kenyin is taking a short multiple choice quiz with four questions on it. If each question has four choices and Kenyin guess at a
bekas [8.4K]

Kindly note that the question says 4; maybe the final question was intended to be the probability that he gets exactly 2 of the 4 correct. However. If it is the other way round. This a e procedure used in the solution should also be followed.

Answer:

0.21

Step-by-step explanation:

Number of options = 4

One correct answer per option ; hence, the probability of success, p = 1/4 = 0.25

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

x = 2 ; n = 4

p = 0.25 ; 1 - p = 0.75

P(x = 2) = 4C2 * 0.25^2 * 0.75^2

P(x = 2) = 6 * 0.0625 * 0.5625

P(x = 2) = 0.2109375

P(x = 2) = 0.21 (2 decimal places)

Note : if the question was 3, then put, n = 3 instead of 4

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What are the values of x and y?<br> Figure and answers shown below.
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Answer:

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Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

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