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
miss Akunina [59]
3 years ago
9

Find the equation of a line parallel to the line 2x-y-9=0 and passing through the point of intersection of the lines 5x+y+4=0 an

d 2x+3y=1
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

y=2x-3

Step-by-step explanation:

1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to 2x-y-9=0

5x+y+4=0

y= -4-5x

substituting the value of y in 2x+3y=1:

2x +3(-4-5x)=1\\\\2x-12-15x-1=0\\-13x=13x\\x= \frac{13}{-13}= -1

substituting x=-1 in y= -4-5x:

y= 1 (upon solving, you should get this)

(x,y)= (-1,1)

2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)

2x-y-9=0\\2x-9=y\\y= 2x-9

y= mx+c\\

-1= 2 x 1 +c

-3=c

  • y= 2x-3

You might be interested in
Answer for this one please
Andrej [43]
Y-12=28
Y=40 here you go
6 0
2 years ago
What is 9 over 5 in a percent
Nataly_w [17]
So you convert the fraction into a decimal then multiply it by 100 so the percentage would be 180%
3 0
3 years ago
Read 2 more answers
Determine the measure of angle j: angle k: & angle: l
Vikki [24]

Answer:

17=J

L= 180-17

 = 163

K=163

L=163

J=17

Step-by-step explanation:

3 0
2 years ago
Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B .
dexar [7]
When two angles are supplementary, that means that the sum of their individual angles is equal to a straight line, which is 180°. If you add another restriction where the two supplementary angles are equal, then each vale of the angle constitutes half of 180°. Then, that means that ∠A = ∠B = 90°. The answer is C.
3 0
2 years ago
Read 2 more answers
To make the perfect orange color hector mixes 2/3 quarts of red paint with 1 4th Court of yellow paint. How much red paint is us
jonny [76]
6/12 or the same thing but reduced 1/2

WELCOME!
5 0
3 years ago
Read 2 more answers
Other questions:
  • Fred spent half of his allowance going to the movies. He washed the family car and earns 7 dollars. What is his weekly allowance
    9·1 answer
  • In basketball, hang time is the time that both of your feet are off the ground during a jump.
    10·2 answers
  • The following table shows the assets and liabilities of the Smith family in 2005 and 2009.
    12·2 answers
  • Find the original price of a pair of shoes if the sale price is $84 after a 30% discount.
    5·2 answers
  • When Derek planted a tree it was 36 inches tall. The tree grew 1 1/4 inches per year. The tree is now 44 3/4 inches tall. How ma
    12·2 answers
  • Can someone figure this out for me?
    11·1 answer
  • 1/500 as a percentage
    8·2 answers
  • An account earns simple interest. Find the annual interest rate. Interest = $60 principle = $500 time = 2 years Please help!!
    12·1 answer
  • R=26 in. find the diameter.
    6·1 answer
  • A parallelogram when one side and two diagonals are given​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!