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
Help me please!! I need this for my math test!!
Svetlanka [38]

Answer:

y=+3

Step-by-step explanation:

6 0
2 years ago
How does confidence interval affect margin of error.
Vesnalui [34]
The width of the confidence interval is twice the margin of error. The lower bound of the confidence interval is the observed score minus the margin of error;
8 0
1 year ago
What is the value of x^3\cdot y^1x ​3 ​​ ⋅y ​1 ​​ x, start superscript, 3, end superscript, dot, y, start superscript, 1, end su
satela [25.4K]

The expression x^3y means that you have to cube the value of x and multiply it by the value of y.

So, the value of x is 5, which becomes 125 when cubed. When we multiply it by the value of y, which is 10, the result is 1250:

x^3y = 5^3\cdot 10 = 125\cdot 10 = 1250

3 0
3 years ago
Solve the expression below, when y = 6<br><br> 5 ( 18 - y)
vivado [14]

Step-by-step explanation:

5 (18 - y) when y=6

5 (18 - 6)

5 × 18 - 5× 6

90 - 30

60

6 0
2 years ago
Read 2 more answers
I need help 2t&lt;-4 or 7t&gt;49
grin007 [14]
2t<-4 divide both sides by 2

t<-2

...

7t>49  divide both sides by 7

t>7

So t=(-oo,-2) and t=(7,+oo)

t=(-oo,-2)U(7,+oo)
8 0
2 years ago
Other questions:
  • Pleassssssssssssssssssss helppppppppp
    13·1 answer
  • I NEED HELP PLEASE ASAP!!!
    15·2 answers
  • Sonya found that x = StartFraction negative 4 Over 3 EndFraction is one solution of (6x + 4)2 = . The other solution is x = .
    16·2 answers
  • Give your opinion about young generation! with the right structure.
    12·1 answer
  • Alexa ran 22.5 miles less than Anthony last week. She ran a total
    8·1 answer
  • In the formula I=P·r·t, what does P stand for? a. Percent: the interest rate expressed as a percentage b. Principal: the amount
    13·2 answers
  • How many radians is 315º?
    7·2 answers
  • How could the formula for perimeter be rearranged to find the length of the playground?
    15·2 answers
  • Need help with Algebra 2! Thank you! :)
    15·1 answer
  • Find the value of x in the picture below.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!