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
WITCHER [35]
3 years ago
5

the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co

-ordinates of A and B​
Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

-3k = -9

k = -9/-3

k = 3

Hence the value of k is 3

You might be interested in
A map of a city uses a scale of 1cm =3.5 meters. If a road shown on the maps runs for 25cm how long is the road?
choli [55]

Answer: 87.5

Step-by-step explanation: 1cm x 25cm = 87.5

5 0
3 years ago
Read 2 more answers
Recently in the United States, there were about 300,000,000 cell phone users. That same year there were about 5.7x10^9 cell phon
Alla [95]
\frac{users worldwide}{US users}
\frac{5700000000}{300000000}
19
6 0
3 years ago
Read 2 more answers
Find x:<br><br><br><br><br> explain if you can!
Sergio039 [100]

Answer:

x is 97

Step-by-step explanation:

the interior angles have to equal 180 and the exterior angles have to come to 360 degrees

so you already know 23 to find the one by the 106 degree you use the linear pair postulate ( angles on a straight line will equal 180) so 180-106 equals 74. Now you have 2 of the three interior angles. To find the third you take 180 - 74 - 23 which equals 83 then you can use the linear pair postulate again and take 180-83 to get your answer for x which equals 97

4 0
3 years ago
Need help with this math. 13 points
densk [106]

Answer:The triangle is dilated by a factor of 1/2

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
1) Are the following lines parallel, perpendicular, or neither?
Maru [420]
In 1)

Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)

Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)

Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)

If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.

So,
Option D will be correct.

5 0
4 years ago
Other questions:
  • Find the value of x in this figure
    15·2 answers
  • Choose the system of equations which matches the following graph:
    8·1 answer
  • 53w+13&lt;56w+16 I need help.​
    11·1 answer
  • Sam sells cars and earns 3.5% commission in sales. In one day he sold 3 of the same cars each for $21,500. How much did Sam earn
    11·1 answer
  • What is a tape diagram
    10·2 answers
  • Use slope-intercept form
    15·2 answers
  • What is the probability that they both choose a card labeled dog?
    15·1 answer
  • Complete the equation describing how
    5·1 answer
  • You have five gears meshed to each other running in a line. the first gear z=100, second gear z=50, third gear z=200, fourth gea
    13·1 answer
  • List the angle measures of △VWX in order from smallest to largest. Assume that t is a positive number.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!