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
maxonik [38]
3 years ago
9

Determine the given pair of lines of parallel, perpendicular, or intersecting.

Mathematics
1 answer:
podryga [215]3 years ago
8 0
k:\ y=m_1\cdot x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2\cdot x+b_2 \\\\k\ ||\ l\ \ \ \Leftrightarrow\ \ \ m_1=m_2\ \ \ \ \ \ and \ \ \ \ \ \ k\ \bot\ l\ \ \ \Leftrightarrow\ \ \ \ m_1\cdot m_2=-1\\----------------------------\\1.\\ k:\ y= \frac{7}{3} x-8\ \ \ and\ \ \ l:\ y=\frac{7}{3} x+3\\\\m_1=m_2=\frac{7}{3}\ \ \ \Rightarrow\ \ \ k\ ||\ l

2.\\k:\ y=2x-1\ \ and\ \  l:\ -x+2y=6\ \Rightarrow\ \ 2y=x+6\ \ \Rightarrow\ \ y= \frac{1}{2}x+3 \\\\m_1 \neq m_2\ \ \ and\ \ \ m_1\cdot m_2 \neq -1\ \ \ \Rightarrow\ \ \ the\ lines\ intersect\\\\3.\\k:\ y= \frac{5}{2} x-17\ \ \ and\ \ \ l:\ y=- \frac{5}{2} x-1\ \ \ \Rightarrow\ \ \ the\ lines\ intersect\\\\4.\\k:\ y= \frac{5}{2} x-4\ \ and\ \ l:\ -5x+2y=6\ \Rightarrow \ 2y=5x+6\ \Rightarrow \ y= \frac{5}{2}x +3\\\\m_1=m_2= \frac{5}{2} \ \ \ \Rightarrow\ \ \ k\ ||\ l

5.\\k:\ y=- \frac{2}{3} x+12\ \ \ and\ \ l:\ y= \frac{3}{2} x+3\\\\m_1\cdot m_2=- \frac{2}{3}\cdot \frac{3}{2} =-1\ \ \ \Rightarrow\ \ \ k\ ||\ l\\\\6.\\k:\ y= \frac{1}{3}x-13\ \ \ and\ \ \ l:\ y=3x+2\ \ \ \Rightarrow\ \ \ the\ lines\ intersect \\\\7.\\k:\ y=-4x+5\ \ ,\ \ l: -x+4y=-16\ \Rightarrow\ 4y=x-16\ \Rightarrow\ y= \frac{1}{4}x-4 \\\\m_1\cdot m_2=-4\cdot \frac{1}{4} =-1\ \ \ \Rightarrow\ \ \ k\ \bot\ l

8.\\k:\ y= \frac{2}{3} x+3 \ ,\ \ l:\ -2x+3y=21 \ \Rightarrow\ \ 3y=2x+21\ \Rightarrow\ y= \frac{2}{3} x+7\\\\m_1=m_2= \frac{2}{3} \ \ \ \Rightarrow\ \ \ k\ ||\ l
You might be interested in
Find an equivalent expression for: 20+5(2x+5)
ryzh [129]
10x+45 dats the correct answer
4 0
3 years ago
Anyone know what company has a greater rate per window and explain please.
Troyanec [42]

Answer:

Company B

Step-by-step explanation:

Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate

6 0
3 years ago
Read 2 more answers
brent counted 10 red cards, 10 black cards and 20 blue cards. what is the ratio of red cards to other cards
Ber [7]
Red Cards = 10
Other Cards (Black + Blue) = 10+20 = 30

So, the ratio would be: 10/30 = 1/3

So, your final answer is 1/3

Hope this helps!
4 0
3 years ago
If two sides of a triangle are 5 and 7 inches longer than the third side and the perimeter measures 21, find the length of each
aleksandr82 [10.1K]
Hello

x
x +5 
x + 7

x + x + 5 + x + 7 = 21 
3 x = 21 - 12
3 x = 9
x = 3 

3 , 5 et 7 pouces
7 0
3 years ago
My dad has 4 oak and maple boards from the lumber yard. Each oak board is 3 centimeters thick. Each maple board is 4 centimeters
goldfiish [28.3K]
12 oak boards
60 maple boards

hope this is helpful
4 0
3 years ago
Other questions:
  • Which expression is equivalent to log29x ?
    13·2 answers
  • What would the answer be ?
    11·2 answers
  • What is a coefficient?
    10·1 answer
  • Rachel wants to buy a shirt regularly priced at $32. It is on sale for 40% off. Rachel estimates that she will save 2/5 of $30 o
    12·1 answer
  • Whats the x-intercept and the y-intercept and zero for 2x-3y=18
    7·1 answer
  • 10 points for correct answer and giving brainliest
    15·2 answers
  • 5
    6·1 answer
  • Type the correct answer in the box.
    9·1 answer
  • Solve Andre’s inequality 3x+10≤31<br><br> h ≥ 7<br> h ≤ 7<br> h &lt; 7
    5·1 answer
  • How do you find the equation of a perpendicular bisect or of a line segment?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!