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
FrozenT [24]
3 years ago
15

The Coordinates three, two and one, six are the opposite vertices of a parallelogram. If zero, zero is the corner of the third v

ertex, then the coordinates of the forth vertex would be

Mathematics
1 answer:
olganol [36]3 years ago
6 0
<h2>Answer: The fourth vertex of a parallelogram would be:-</h2>

Step-by-step explanation: let the parallelogram ABCD as shown in fig:-

The two opposite vertices of a parallelogram are (3,2) and (1,6) and the third vertex given as (0,0)

let the unknown vertex B is (x,y)

as per the property of a parallelogram, the Diagonals of a parallelogram bisects each other.

so,

the point E is the mid-point of side AC as well as the side BD, let the mid-point E is having vertex (a,b),

mid-point (a,b) of side AC

a=3+1/2=2

b=2+6/2=4

mid-point (a,b) of side BD

a=x+0/2=2

x=4

b=y+0/2=4

y=8

:-)the fourth vertex of a parallelogram is (4,8)

You might be interested in
Find the equation of the line that is parallel to the given line and passes through the given point
Sati [7]

Answer:

\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}

x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1

\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4

5 0
3 years ago
Find the mean median mode<br> 12,9,12,11,10,18,7,19,13,19
Nady [450]

Mean : The average of all the data in a set.

Median : The value in a set which is most close to the middle of a range.

Mode : The value which occures most frequently in a data set.

12,9,12,11,10,18,7,19,13,19

Mean = 13 (Average)

Median = 12 (Middle)

Mode = 12, 19 (most common)

8 0
3 years ago
Help I need help on this question
Natali [406]

Answer:

56.4 degrees

Step-by-step explanation:

90 degrees - 33.6 degrees = 56.4 degrees

3 0
3 years ago
Read 2 more answers
Which fraction is bigger 7/8 or 14/15 using lcm
Sever21 [200]
Between 7/8 and 14/15 the bigger value is the 7/8. When comparing to fractions you need look on the denominator of the fractions the smaller the denominator the larger the fraction. Thank you for posting your question here. Hope it helps.
4 0
3 years ago
Solve: 2x-3 = 5(x + 6) O A. x=33/7 A. X = 7 O B. x=-11 O C. x= -9 O D. x= -3​
love history [14]

Answer:

B -11

Step-by-step explanation:

2x-3=5x+30

or,2x-5x=30+3

or,-3x=33

x=-11

4 0
3 years ago
Other questions:
  • Great Gummies wants to see if their new candy is enjoyed more by high school or middle school students. They decide to visit one
    7·2 answers
  • Imelda, Susan, and Clara are driving go-carts around a track. Imelda takes 14 minutes, Susan takes 18 minutes, and Clara takes 1
    14·1 answer
  • Hector is visiting a cousin who lives 350 miles away. He has driven 90 miles. How many more miles does he need to drive to reach
    15·2 answers
  • I solved this problem : 33 + 45 + 78 how could i check my answer?​
    11·2 answers
  • Graph a line with a slope of -2/5 that contains the point (-3,5)
    10·1 answer
  • Please help!!<br> Find the value of x to the nearest tenth.
    7·1 answer
  • Evaluate 11/12*12/121- -6/5*70/60
    15·1 answer
  • PLZ i want the answer
    7·1 answer
  • I need help please ​
    12·1 answer
  • Rationalize the denominator.<br> – 5x4<br> ✓4x +7
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!