the coordinates of the endpoints of line AB and line CD are A(x1, y1), B(x2, y2), C(X3,Y3), and D(x4, y4). which condition proves that line AB is parallel the CD?

Answers

Answer 1
Answer: Find the slope for the two lines and state that they are equal (condition for parallel lines)

Slope of line AB

[y2 - y1] / [x2 - x1]

Slope of line CD

[y4 - y3] / [x4 - x3]

Condition

[y2 - y1] / [x2 - x1] = [y4 - y3] / [x4 - x3]



Related Questions

Plsss, need the answer for part a and b
The potential energy, P, in a spring is represented using the formula P =1/2 kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.Which equation should she use?
Quick question!!!!!!!
Can someone answer plz
The sum of twice a number and 10 is 36

Help please. no clue what I'm doing​

Answers

Answer:

Option second!!!!!!!

Please help asap its due in one minuteLarry’s Landscaping charges $235 for spring cleanups and $30 for weekly lawn maintenance. Joe’s Landscaping charges $185 for spring cleanups and $35 for weekly lawn maintenance. The system that models this situation is given, where c is the cost of lawn maintenance and w is the number of weeks.
c = 235 + 30w
c = 185 + 35w
The solution to the system is (10, 535).
Which interpretation correctly describes the solution to the system of equations?
a. Larry’s Landscaping will charge more money on the tenth week by charging $535.
b. Joe’s Landscaping will charge more money on the tenth week by charging $535.
c. The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.
d. A customer can have his or her lawn maintained for a maximum of 10 wk. The customer will pay a total of $535.

Answers

The first thing you would do is substitute the 10 in for 'w' and 535 in for 'c'. 
535 = 235 + 30(10)
535 = 185 + 35(10)
Then, you would just solve the equations.
535 = 235 + 30(10)
30(10) = 300
300 + 235 = 535 
So the first equation is true, and we know for a fact that Larry's Landscaping charges $535 for a spring cleaning and weekly yard maintenance for 10 weeks.
On to the next equation.
535 = 185 + 35(10)
35(10) = 350
185 + 350 = 535
So, the second equation is true also. And we also know for a fact that Joe's Landscaping charges $535 for a spring cleaning and weekly yard maintenance for 10 weeks. 
So, now that we know that they will end up charging the same amount of money for a spring cleaning and weekly yard maintenance, the only answer that fits that is C. The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 weeks.
Hope this helps!

535 for both in ten weeks sorry if I am lake took a while to think.

In how many ways can the letters of the word CHROMATIC be arrangeda. without any restrictions 
b. if the position of the vowels can’t change
c. find the probability that the string of letters begins with the letter M

Answers

a. without any restrictions
since there 9 letters in the word CHROMATIC, then the number of ways it can be arrange is
P = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x1
P = 362880 ways can the word CHROMATIC be arranged with no restirction

B.
if the position of the vowels can’t change
since there are 6 consonant letters in the word CHROMATIC, then the number of ways it can be arrange without changing the vowel is:
P = 6 x 5 x 4 x 3 x2 x 1
P = 720 ways

Expand it please
(2/7z-3/5x)2

Answers

Answer:   \bold{(4)/(49)z^2-(12)/(35)xz+(9)/(25)x^2}

Step-by-step explanation:

\bigg((2)/(7)z-(3)/(5)x\bigg)\bigg((2)/(7)z-(3)/(5)x\bigg)\n\n\n=(2)/(7)z\bigg((2)/(7)z-(3)/(5)x\bigg)-(3)/(5)x\bigg((2)/(7)z-(3)/(5)x\bigg)\n\n\n=(4)/(49)z^2-(6)/(35)xz-(6)/(35)xz+(9)/(25)x^2\n\n\n=(4)/(49)z^2-(12)/(35)xz+(9)/(25)x^2

What is 12^(2)

Answers

Hello there!

This question is so super easy to me.

Explanation

↓↓↓↓↓

First you had to simplify it should be the correct answer.

12^2

12*12

=144

Answer⇒⇒⇒⇒⇒144

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

12 squared is just 12 times 12 so its 144

PLEASE HELP MEEEE!!!!!!

Answers

24, 20,-1, 4,5, 35,21