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
Eddi Din [679]
3 years ago
8

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

or perpendicular?
Mathematics
1 answer:
icang [17]3 years ago
8 0

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

You might be interested in
2 questions…
laila [671]

Answer:

1) (-50) <(-25) < (-10) < 10 < 25

2) 150 in^2

Step-by-step explanation:

For the first question we list the numbers according to their sign(start from negative)

For the second question we multiply height with width to find the area of the rectangle.

8 0
3 years ago
Read 2 more answers
Point A is at (-2,-2)?<br> true or false
vladimir1956 [14]

A= (2,-2)
B= (-2,-2)
C=(2,4)
D=(-2,2)

if this helped Brainliest me on this answer it helps alot :))

6 0
1 year ago
Is the answer 2 to this question?
iragen [17]

Answer:

its 8

Step-by-step explanation:

use ratio solution ..

2 shampoo : 9 water

8 shampoo : 36 water

9x4 = 36

same goes too shampoo.. it needs to be multiplied with 4 as to get 36 water u multiplied 9 with 4

6 0
3 years ago
Read 2 more answers
Helppp plzz will mark brainleast
Klio2033 [76]
What is the height!
5 0
2 years ago
Pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Natasha2012 [34]

Answer:

7. 36     8. 1     9. 21

Step-by-step explanation:

You plug in the variables in the equation.

7.5^{2} +-4^{2} = 41

8. (5-4)^{2} = 81

9. 5+4^{2} =21

6 0
3 years ago
Read 2 more answers
Other questions:
  • Whats does v equal in math... v=?
    12·1 answer
  • Find the circumference given the area = 437.4 in². Use 3.14 for π as necessary.
    9·2 answers
  • he √ symbol is called the ___________________. The number or expression beneath the √ symbol is called the ___________________.
    12·1 answer
  • A man can run a mile in 4 minutes. calculate his average speed in kilometers per hour. show your work. (1 mile = 1.61 km)
    13·1 answer
  • (3x² + 6x + 1) = (3x)​
    7·1 answer
  • Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
    12·1 answer
  • The ratio of ounces of nuts to ounces of raisins is to . In 4 batches of trail mix, the number of ounces of nuts is and the numb
    14·2 answers
  • A The integer with the greatest value is the one that has the greatest absolute value.
    13·1 answer
  • True or False? The derivative of sin(x) is cos(x).
    11·2 answers
  • Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. Carter motor company claims tha
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!