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
evablogger [386]
2 years ago
15

Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the followin

g describes the relationship between line A an line B?
1. Lines A and B are parallel, because they have opposite reciprocal slopes.
2. Lines A and B are parallel, because they have the same slope
3. Lines A and B intersect, because their slopes have no relationship.
4. Lines A and B are perpendicular, because they have opposite reciprocal slopes.
Mathematics
1 answer:
horrorfan [7]2 years ago
8 0

\stackrel{\textit{\LARGE Line A}}{(\stackrel{x_1}{-8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{4})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{4 -5}{-5 +8}\implies -\cfrac{1}{3} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{\LARGE Line B}}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{0}}} \implies \cfrac{-1 -1}{4 +0}\implies -\cfrac{1}{2}

keeping in mind that perpendicular lines have negative reciprocal slopes, and that parallel lines have equal slopes, well, those two slopes above aren't either, so since they're neither, and they're different, that means that lines A and B intersect.

You might be interested in
There was 1/4 of a pan of lasagna left. Tom ate 1/3 of this amount. What fraction of the whole pan of lasagna did he eat?
BartSMP [9]

Answer:

Tom ate 7/12 of the whole pan of lasagna.

6 0
2 years ago
Read 2 more answers
Two number cubes are rolled.
Olegator [25]
Cubes have 6 numbers
3 odd, 3 even

probablity=desiredoutcome/totalpossibleoutcomes
there are 6 total desired outcomes (3 on each cube)
total possible, there are 6*6 or 36 total possible outcomes
so 6/36 or 1/6 chance
3 0
3 years ago
Read 2 more answers
Which of the following are the factors of 4b^2-16?
vladimir2022 [97]
The answer is B hope this helps

6 0
3 years ago
Read 2 more answers
A machine in an office can shred 65 sheets of paper every 5 seconds. How many sheets of paper can the machine shred in 60 second
Tema [17]

Answer:

780 sheets

Step-by-step explanation:

we know that

A machine can shred 65 sheets of paper every 5 seconds

so

using proportion

Find out how many sheets of paper can the machine shred in 60 seconds

7 0
3 years ago
Read 2 more answers
Which logorithmic equation is equivalent to the exponential equation below? e^a=60
Alex73 [517]

Answer:

a = ln(60)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Y+3=1/4x <br> What is the standard form of the following equation
    7·1 answer
  • A school gives awards in five subjects to a class of 30 students but no one is allowed to win more than one award. how many outc
    14·1 answer
  • If m and n are positive integers and 2m + 3n = 15, what is the sum of all possible values of m?
    10·2 answers
  • 2/3 minus 2/3 What does that equal in fraction form
    13·2 answers
  • What is the coefficient of the 3rd term of : 2x^3 + 3x^2 - 5x + 14
    15·1 answer
  • At this pace, how many miles can she run in 88 minutes?
    7·1 answer
  • A number is of another number. The difference of the
    5·1 answer
  • Find measure of &lt;1 <br><br> Answer ASAP!!
    11·2 answers
  • 3 no d anf<br>answer needed<br>with process <br>​
    6·1 answer
  • Stevic delivers newspapers. He has already earned $36 delivering the Sunday paper and $12 delivering the Saturday paper. He earn
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!