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
MariettaO [177]
3 years ago
9

The equations shown represent two altitudes of a triangle. y = x+1 and y = −2x−1 What are the coordinates of the orthocenter of

the triangle?
Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

The coordinates of the orthocenter of the triangle is;

(-2/3,1/3)

Step-by-step explanation:

To find the coordinates of the orthocenter, all we have to do is solve for x and y of the given altitudes

We can get this by solving both equations simultaneously

Simply equate the two y’s

x + 1 = -2x-1

x + 2x = -1-1

3x = -2

x = -2/3

To get y, simply substitute into any of the equation, the value of x

y = -2/3 + 1

y = 1/3

You might be interested in
Volume of a cylinder with a height of 8 and a width of 8
tangare [24]

Answer:

I am only in like 5th grade, but I'll do my best to answer this.

Step-by-step explanation:

Volume of a cylinder: πr^2h where "r" is the radius and "h" is the height

π * 4^2 because since the width is 8, half of that is the radius

π * 4^2 * 8 because you still have to multiply that by the height to find the full space inside

= π * 4^2 * 8

V ≈ 402.12 (rounded to two decimals)

6 0
4 years ago
5x-3x(26x-7x-28x) systems of equation
labwork [276]

Simplifying
5x + 2(8x + -9) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
5x + 2(-9 + 8x) = 3(x + 4) + -5(2x + 7)
5x + (-9 * 2 + 8x * 2) = 3(x + 4) + -5(2x + 7)
5x + (-18 + 16x) = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 5x + 16x = 3(x + 4) + -5(2x + 7)

Combine like terms: 5x + 16x = 21x
-18 + 21x = 3(x + 4) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 3(4 + x) + -5(2x + 7)
-18 + 21x = (4 * 3 + x * 3) + -5(2x + 7)
-18 + 21x = (12 + 3x) + -5(2x + 7)

Reorder the terms:
-18 + 21x = 12 + 3x + -5(7 + 2x)
-18 + 21x = 12 + 3x + (7 * -5 + 2x * -5)
-18 + 21x = 12 + 3x + (-35 + -10x)

Reorder the terms:
-18 + 21x = 12 + -35 + 3x + -10x

Combine like terms: 12 + -35 = -23
-18 + 21x = -23 + 3x + -10x

Combine like terms: 3x + -10x = -7x
-18 + 21x = -23 + -7x

Solving
-18 + 21x = -23 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-18 + 21x + 7x = -23 + -7x + 7x

Combine like terms: 21x + 7x = 28x
-18 + 28x = -23 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + 28x = -23 + 0
-18 + 28x = -23

Add '18' to each side of the equation.
-18 + 18 + 28x = -23 + 18

Combine like terms: -18 + 18 = 0
0 + 28x = -23 + 18
28x = -23 + 18

Combine like terms: -23 + 18 = -5
28x = -5

Divide each side by '28'.
x = -0.1785714286

Simplifying
x = -0.1785714286
3 0
3 years ago
What is 9-3y=x I don't know this one
torisob [31]
The answer is 
y= - x-9/3 I believe.
1- Subtract 9 from both sides.
-3y = x - 9
2- Divide both sides by -3
y = - x-9/3
4 0
4 years ago
Read 2 more answers
Take my points just take say something like
Sergio039 [100]

Answer:Something Like

Step-by-step explanation:

Thanks!

5 0
3 years ago
Read 2 more answers
What kind of slope is (6,-3)and (-4,-3)
Pavel [41]

Answer:

0

Step-by-step explanation:

Slope = y2- y1/x2 - x1

Given

x1 = 6

y1 = -3

x2 = -4

y2 = -3

Slope = -3 -(-3) /-4 - 6

= -3 + 3 /-10

= 0/10

= 0

This means that the line of the slope is horizontal

6 0
3 years ago
Other questions:
  • PLEASE I NEED HELP ASAP ITS ALMOST DUE
    10·1 answer
  • WHATS THE AREA?? PLEASE HELP!
    12·1 answer
  • Plz help I need bt tonight
    8·1 answer
  • What do I multiple to -1 1/7 to get 1
    9·1 answer
  • DOES ANYONE KNOW THESE BLANKS PLEASE HELP
    15·1 answer
  • F (x) = 1/3 x for x=4
    11·2 answers
  • Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2
    11·1 answer
  • Four less than a number is more than 15.<br> PLS HELP ME I WILL GIVE 15 POINTSSS
    8·1 answer
  • Which of the following ordered pairs a solution to the equation?
    13·1 answer
  • Look at the picture below to help. pls
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!