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
Katena32 [7]
4 years ago
7

Does the given equation of line form parallel lines or not

Mathematics
1 answer:
malfutka [58]4 years ago
5 0

k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2

k:x+4y=10\ \ \ |-x\\\\4y=-x+10\ \ \ \ |:4\\\\y=-\dfrac{1}{4}x+\dfrac{10}{4}\to m_1=-\dfrac{1}{4}\\\\l:3x-2y=5\ \ \ \ |-3x\\\\-2y=-3x+5\ \ \ \ |:(-2)\\\\y=\dfrac{3}{2}x-\dfrac{5}{2}\to m_2=\dfrac{3}{2}

m_1\neq m_2\to\text{ no parallel}\\\\m_1\cdot m_2=-\dfrac{1}{4}\cdot\dfrac{3}{2}\neq-1\to\text{ no perpendicular}

Answer: NOT PARALLEL

You might be interested in
You can drive 512 miles on one tank of gas if you have 16 gallons of tank how many miles can you drive in 1 gallon of gas
tino4ka555 [31]
In order to find how many miles you multiply 512 by 16

Your answer is 8192 miles


Hope this helps :D
4 0
4 years ago
Which graph represents an even function?<br>​
expeople1 [14]

Answer:

Step-by-step explanation:

The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.

5 0
3 years ago
Read 2 more answers
What’s the linear equation for (1,21)(2,33)(3,45)(4,57)
nalin [4]

The linear equation representing the above said pair of points is "y=12x+9"

Step-by-step explanation:

The given set of points are  

x Y

1 21

2 33

3 45

4 57

For finding the linear equation for the given sets of value

We must know the generic form of a linear equation is y=m*x + c

m= slope of the line where y= Δy/Δx  

Δy= change in y value

Δx= change in x value

Thus slope ”m” = 33-21/2-1 = 12

we put slope “m” in the equation which becomes y=12x+c

Now we put any of the set value in the equation

33= 12*2+c ∴ c=9

Hence required linear equation is y=12x+9

7 0
3 years ago
How to solve this question. I need to show my work for this question.
IrinaK [193]

Step-by-step explanation:

Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:

\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) and \left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)

a) 12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}

b) 18 dozen cookies = 216 cookies

216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}

4 0
3 years ago
The garden has 20 rows of crops and one half of the rows are planted with corn. How many rows are planted with corn?
max2010maxim [7]
20 x 1/2 = 10

There are 10 rows that are planted with corn.
3 0
3 years ago
Read 2 more answers
Other questions:
  • You are 55 feet tall and cast a 1010-foot shadow. A flagpole nearby casts a shadow that is 2828 feet. Which equation can you use
    9·1 answer
  • Someone help me on this one
    10·2 answers
  • I don’t understand
    9·1 answer
  • At the beginning of the month, Hercules had 96 violas in his store. He sold 9 violas during the month. What is the ratio of the
    15·1 answer
  • The candidate that won received 80% of the 260 total votes. How many votes did the non-winning candidate receive?
    14·1 answer
  • What is the exponential regression equation that fits these data? x у 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+
    5·1 answer
  • Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size
    11·1 answer
  • Two​ trains, Train A and Train​ B, weigh a total of 532 tons. Train A is heavier than Train B. The difference of their weights i
    12·1 answer
  • Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?
    9·2 answers
  • Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!