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
SVETLANKA909090 [29]
3 years ago
6

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

m=\frac{6-4}{3+3}

m=\frac{2}{6}

simplify

m_a=\frac{1}{3}

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

m=\frac{3+3}{-8+10}

m=\frac{6}{2}

m_b=3

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

m=\frac{-4-5}{3-0}

m=\frac{-9}{3}

m_c=-3

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

m=\frac{-4+7}{13-4}

m=\frac{3}{9}

simplify

m_d=\frac{1}{3}

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

m_a=\frac{1}{3}

m_b=3

m_c=-3

m_d=\frac{1}{3}

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

You might be interested in
3806 divided by 22=?
suter [353]



the answer to 3806 divided 22 is 173


8 0
3 years ago
Read 2 more answers
What is the simplified form of the expression?
natali 33 [55]

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

5 0
2 years ago
What is the solution to the equation t minus 15 = 76?
Phoenix [80]

Answer:

4. / D.

Step-by-step explanation:

t-15=76\\t=76-15\\t=61

8 0
2 years ago
Solve the equation + 6 = 2.
seraphim [82]
The answer is a=7 because you have to do 7-6 which equals to 2 which a=7 is the right answer
6 0
2 years ago
In the fraction 35/10 what is the product that lies between
RUDIKE [14]
The result of the fraction is 3.5

we can calculate this like this:
\frac{35}{10} = \frac{5*7}{2*5} = \frac{7}{5}=3.5

I think that the question is asking between which two natural numbers the result lies, and the result is 3 and 4: it's bigger than 3 and smaller than 4

 
8 0
3 years ago
Other questions:
  • The entrance ramp to an arena rises 4.5 feet for every 50 feet of horizontal distance it covers. What is the slope of the ramp ?
    8·2 answers
  • Write the following ratio in their simplest form 25:75​
    12·2 answers
  • What is the equation of the line with qn x-intercept of -1 and a y-intercept of 2?
    6·1 answer
  • A triangle has side lengths of 8 cm, 15 cm, and 16 cm. Classify it as acute, obtuse, or right.
    11·1 answer
  • There are 12 snowflakes and 18 snowmen. Write an equivalent ratio of snowmen to snowflakes in simplest form using a colon
    7·1 answer
  • Which function has two distinct real roots
    14·1 answer
  • Help me find the volume
    7·1 answer
  • Rewrite the following radical expressions as equivalent exponential expressions. <br> a. √5
    11·1 answer
  • Which mathematical property is shown here
    5·1 answer
  • How many two digit number divisible by 4​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!