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
Alex Ar [27]
3 years ago
9

the quadrilateral ABCD on a coordinate plane has the following characteristics. AD can be represented by the equation y=-3x wher

e -1 < x < 0. BC can be represented by the equation y=-3x+11 where 2 < x < 3. Cd has the coordinates C(2,5) and D(-1,3). in order for ABCD to be a parallelogram, which of the following coordinates correspond to AB.
Mathematics
1 answer:
vovangra [49]3 years ago
5 0
The coordinates of point A will be (0, 0) and the coordinates of B will be (3, 2).

To find these coordinates you have to graph the points and line segments. You will see that the 2 line segments start at points C and D and move down to the right. The endpoints of these segments will form your parallelogram.
You might be interested in
For questions 1- 3 find the exact sum or difference.
7nadin3 [17]
D, Because 7/15 + 9/15 is 16/15 + 4/15 =20/15 which equals 1 5/15 which turns into 1 1/3
A, 1/21 + 2/21 = 3/21 and that equals 1/7

C, 3/14+3/12 turns into 3/14+5/14= 10/14 - 8/14= 2/14=1/7
6 0
3 years ago
PLEASE HELP ME If 0 &lt; z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Burka [1]

Answer:

  z = 6

Step-by-step explanation:

We know that ...

  sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

  sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

  sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

  90 -(9z -1) = 6z +1

  90 = 15z . . . . . . . . . add (9z-1) to both sides

  6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

  sin(x) = cos(90 +360k -x)  . . . . .  for any integer k

Then the above equation becomes ...

  90 +360k = 15z

  6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

  sin(x) = cos(x -90)

  sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

  3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

  z = 30 2/3

6 0
3 years ago
What is the standard deviation of this data set? Use a calculator to help you.
ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

        X                          X - Xbar                  (X-Xbar)^{2}

       20                     20 - 46 = -26                    676

       23                     23 - 46 = - 23                    529

       32                     32 - 46 = -14                      196

       36                     36 - 46 = -10                      100

       41                      41 - 46 = -5                         25

       43                     43 - 46 = -3                          9

       44                     44 - 46 = -2                          4

       45                     45 - 46 = -1                           1

       47                      47 - 46 = 1                            1

       54                      54 - 46 = 8                        64

       55                      55 - 46 = 9                        81

      59                       59 - 46 = 13                      169

       61                       61 - 46 = 15                       225

       63                       63 - 46 = 17                      289

       66                       66 - 46 = 20                <u>     400    </u>    

                                                    \sum(X-Xbar)^{2} <u>= 2769 </u>

Firstly we will calculate Mean, Xbar = \frac{\sum X}{n}

  Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15} = 45.93 ≈ 46

Now, Standard deviation formula is given by;

                   s = \sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}} = \sqrt{\frac{ 2769}{15-1}} = 14.064 .

7 0
3 years ago
Complete the general form of the equation of a sinusoidal function having an amplitude of 4, a period of π , and a phase shift t
alex41 [277]

Answer:

4 sin (2x - 4).

Step-by-step explanation:

The amplitude of  sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.

Our formula is  4 sin (2(x - 2))

= 4 sin (2x - 4).

8 0
3 years ago
Which of the following are exterior angles? check all that apply
Zigmanuir [339]

Answer:

4, 5, 6

Step-by-step explanation:

An exterior angle is an angle outside of the triangle

3 0
3 years ago
Other questions:
  • If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation line? Is it
    14·1 answer
  • What the answer to number 6
    6·2 answers
  • Help please, hurry​
    8·1 answer
  • He uses 6 inches of yarn per bracelet. how many bracelets can sal make with 5 feet of yarn?
    14·1 answer
  • Last year my parents had a combined income of 70,000. They paid 17,000 in federal income taxes. What fraction shows how much my
    5·2 answers
  • Solve: sin^2 x + sin x cos x = 0
    14·1 answer
  • 6. The senior class at High School A and High School B planned trips to
    9·1 answer
  • Can someone help me out
    11·1 answer
  • How do we come to understanding a big concept in mathematics
    14·2 answers
  • 100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!