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
Angelina_Jolie [31]
2 years ago
13

If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

#SPJ1

You might be interested in
What is 3 1/5-1 3/10=p+5/6?
DENIUS [597]
3\frac{1}{5}-1\frac{3}{10}=p+\frac{5}{6}\\\\3\frac{2}{10}-1\frac{3}{10}-\frac{5}{6}=p\\\\p=2\frac{12}{10}-1\frac{3}{10}-\frac{5}{6}\\\\p=1\frac{9}{10}-\frac{5}{6}\\\\p=1\frac{27}{30}-\frac{25}{30}\\\\p=1\frac{2}{30}\\\\p=1\frac{1}{15}
6 0
3 years ago
Read 2 more answers
2(4x + 1) - 3(5x - 1)<br> expand and simplify
Temka [501]

Answer:
-7x + 5

Step-by-step explanation:

2(4x + 1) - 3(5x - 1)

8x + 2 - 3(5x-1)
8x + 2 - 15x + 3
8x + 5 - 15x
-7x + 5

Hope it helped !
Adriel

6 0
2 years ago
Can someone help me please and thank you!!
Ipatiy [6.2K]

Answer:

Perimeter: perimeter = (12 x 2) + (x-2 times 2)

Area: 12 x (x-2)

Step-by-step explanation:

I hope im right im only in grade 6 so wouldnt  trust me with that :/  

6 0
2 years ago
Select the best possible first step to solving the system by first eliminating the x variable. 3x − 9y = 6 2x − 11y = 6
Klio2033 [76]
The first step would be to add 3x and 2x i believe but I am not sure 
5 0
3 years ago
Solve the equation. Explain each step and identify the property used to reach each step.
Tom [10]

To isolate x, we will first subtract 0.8 from both sides.

0.6x + 0.8 = 1.4

-0.8 -0.8

0.6x = 0.6

Now all we have to do is divide both sides by 0.6, because it is the number besides x.

0.6x/0.6 = 0.6/0.6

x = 1

So you get the answer of x = 1.

7 0
2 years ago
Other questions:
  • A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.
    6·1 answer
  • A bag contains 2 white marbles abd six black marbles.
    8·1 answer
  • Kevin cuts 3/4 off of the length of a log. Kenneth cuts 1/8 off of what is left. How much of the original log remains?
    14·1 answer
  • The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
    5·2 answers
  • To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
    9·1 answer
  • What are 3 statements about 3/4
    13·2 answers
  • Help me please I need the answer
    12·1 answer
  • Given: the triangle is a right triangle, find A .<br><br> A. 39°<br> B. 49°<br> C. 51°
    13·1 answer
  • Helpppp plsssss someone !!!!!
    6·1 answer
  • What is the decimal equivalent of the 15/8
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!