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
Omar can buy at most 8 pairs of socks​
kondor19780726 [428]
Where’s the rest of the question?
4 0
3 years ago
Four less than three times a number is greater than two times the number minus one
Andreyy89
4-3x>2x-1
Hope this helps!!
6 0
3 years ago
Read 2 more answers
Sole thus problem for 10 points 2x^2-4+10=0
Vlada [557]

Answer:

x∉R

Step-by-step explanation:

6 0
2 years ago
A bag contains 8 blue marbles, 6 red marbles, and 4 green marbles. What is the probability of se
Digiron [165]
What do you mean by se?
5 0
3 years ago
A ball is thrown into the air with an upward velocity of 80 feet per second. The function h = -16t^2 + 80t models the height h,
irakobra [83]

The ball hits the ground when the height  h(t) = 0 , so

-16t^2 + 80t = 0

-16t(t - 5) = 0

t- 5 = 0  or -16t^2 = 0 (  here t = 0 which corresponds to when ball is thrown)

t - 5 = 0 gives:-

t = 5 seconds  (answer)

3 0
3 years ago
Read 2 more answers
Other questions:
  • When a math problem say twice as the amount what operation is that
    12·1 answer
  • What is greatest to least 1.001,1.1,1.403,1.078
    6·2 answers
  • Can someone help? I’m completely blanking
    13·1 answer
  • Write down an expression in terms of n for the next even numer after 2n+2
    15·2 answers
  • considering the expression 27,000÷ 30. Circle the expression that is equivalent to the expression 27,000 ÷ 30.
    7·1 answer
  • What is 16 thirds as mixed number
    8·2 answers
  • The owner of Carlisle Construction is a little
    10·1 answer
  • Difference between Simple Intrest and Compound Intrest
    10·2 answers
  • Please quick You purchase a car using a $15,000 loan with a 5% simple interest rate.
    13·1 answer
  • To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!