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
Elden [556K]
3 years ago
12

Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7

), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

You might be interested in
I'll give brainliest!!! please answer quickly!!!
Lana71 [14]

Answer:

i believe the answer is c

Step-by-step explanation:

because he was worried about what would happen to him

7 0
3 years ago
Which ratio does not belong with the other three? Explain your reasoning. 4/10 2/5 3/5 6/15
JulsSmile [24]

Answer:

3/5

Step-by-step explanation:

7 0
3 years ago
A pair of pants was 40% off the original price. The sale resulted in a $36 discount. What was the original price before the sale
Mama L [17]

Answer:

$90.00

Step-by-step explanation:

40% of What is 36?

40/4 = 10 (10%)

36/4 = 9 (9 is 10% of the answer we are looking for)

Multiply both answers (9 and 10) by each other.

You get 90

8 0
3 years ago
Kedir bout 200 eggs for Birr 50 Birr and sells them for Birr 0.30 each.
ella [17]

Answer:

Yes, Kedir made profit.

Step-by-step explanation:

0.30 x 200 = 60 Birr

60 Birr is more than 50 Birr

He made profit of 10Birr, which is 20% of 50 Birr

8 0
2 years ago
Convenient store sells prepaid mobile phones a purchase of them for $12 each and uses a markup rate of 250% what is the markup r
kozerog [31]
250%=2.5

Explanation: it just does
4 0
3 years ago
Other questions:
  • HELP!<br><br> Is a^2 + b^2 = (a+b)^2
    12·1 answer
  • What is the answer step by step?
    8·1 answer
  • What percent of 641 is 73?
    12·2 answers
  • i am a digit in each of the numerals 756 657 576 my value is different in all numerals. what digit am i? what vakue do i stand f
    15·1 answer
  • Numa pista de treino, três ciclistas
    6·2 answers
  • use figure 10.5 on page 391 for the percent of coverage to determine the a) amount of coverage for the garage, c)amount for loss
    5·1 answer
  • H(x) = -0.5x16 + 14x2 – 2 + 254
    10·1 answer
  • What is <br> f(x)=2x+3<br> if x=10
    12·2 answers
  • Hello please please help me with this question now please please
    10·1 answer
  • Use (x-3)^2 -6<br> to solve x^2-6x+3=0 <br> leave your answer in surd form
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!