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
matrenka [14]
3 years ago
5

What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Answer:

K(-4,8) is the ortho center.

Step-by-step explanation:

In a right angled triangle, The vertex of the right angle is the ortho center.

Here we are given

J(-4,-1), K(-4,8) & L(2,8)

Using distance formula we get

JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81

KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36

JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117

So we can say that

JK^2 + KL^2=JL^2

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)

K(-4,8) is the ortho center.

You might be interested in
4/9 is in lowest terms.<br><br> A. True<br> B. False
vodomira [7]

Step-by-step explanation:

4/9 is in lowest terms because it does not have any other common factor , other than 1 so it can't be reduced more .

A. True

5 0
3 years ago
Read 2 more answers
What is the original price if there is a 45% discount and the sale price is $550?
Svetradugi [14.3K]

Original price×(1-discount price)=new price or sale price so

Put x in original price...x(1-45/100)=550

So the original price is 1000

3 0
3 years ago
The nutritional chart on the side of a box of a cereal states that there are 84 calories in a 3/4 cup serving. How many calories
pentagon [3]
<span>756=3/4x
x=1008 calories</span>
5 0
3 years ago
Grades 9 – 12
adelina 88 [10]
Bla-bla-bla bla-bla bla-bla-bla
4 0
3 years ago
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring tak
dalvyx [7]
  • Haircuts be x
  • hair coloring be y

#a

\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150

\\ \sf{:}\Rrightarrow x+y\geqslant 10

And

\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8

#2

Attached

#3

  • (8,2)

8 0
3 years ago
Other questions:
  • Rewrite in simplest terms: 9(-9f-2)-9(5f+10)
    13·1 answer
  • The projectile motion of an object is modeled by the function h (t) = -16t2 + vt + c, where v is the initial velocity of the obj
    6·1 answer
  • How do I write 6000000000 in scientific notation?
    6·1 answer
  • Doesanyoneknowtheanswertothis???
    14·1 answer
  • Misha measured a distance of 60 feet from her kitchen to the bedroom. What is the equivalent number of meters.
    10·1 answer
  • How many inches is 21 cm
    11·1 answer
  • How do you compute two thirds of 6 ounces<br><br><br> what is two thirds of 6 ounces
    15·2 answers
  • Emily had 10 carrot sticks to snack on during her hike. She ate 6 of the sticks. Her friend gave her 3 more sticks after the hik
    14·1 answer
  • Help with checking my answer
    9·1 answer
  • Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are in
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!