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
velikii [3]
3 years ago
7

Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the s

teps you took to find the orthocenter, including any necessary points or slope you had to derive.
Mathematics
1 answer:
Allisa [31]3 years ago
5 0

For line B to AC:  y - 6 = (1/3)(x - 4);  y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14

For line A to BC:  y - 6 = (-1)(x - 0);  y - 6 = -x, so y + x = 6

Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:

(3y - x = 14) + (y + x = 6) =>  4y = 20, y = +5;  Substitute this into y + x = 6:  5 + x = 6, x = +1

<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>

You might be interested in
How do I do this problem I am stuck .
vekshin1
4p - 9 = -193
4p = -193 = 9 
4p = -184
p = -184/4
p = -46
3 0
3 years ago
Read 2 more answers
3α – 3 (α + 2)<br> =10 please help
Sloan [31]

Step-by-step explanation:

3a-3(a+2)=10

3a-3a-6=10

+3 +3

6a-6=10

+6 +6

6a=16

3 0
3 years ago
SQUARE ROOT OF 8<br><br>THANKS -,-​
sergey [27]

Answer:

it's 2

Step-by-step explanation:

square root of 8 is 2

5 0
3 years ago
Read 2 more answers
1. Trey bought a puzzle priced at $12 and a
Mazyrski [523]

Answer:

$28.08

Step-by-step explanation:

104%×12+104%×15

=$28.08

Hope this helps!!!

7 0
3 years ago
Read 2 more answers
I NEED HELP WITH THIS
aivan3 [116]

Answer:

(5,0)  & (3 , -1)

Step-by-step explanation:

Solution is the points where the parabola and line intersects.

5 0
2 years ago
Read 2 more answers
Other questions:
  • 3 brothers have 58 years in total. How old is the youngest brother if 3/4 of his age equals to 2/3 of middle brother's age and 3
    14·1 answer
  • You are balancing the checking account for your new lawn-care business. Based on the check register below, how much money is in
    12·2 answers
  • In a race, Car #1 went an average of
    10·1 answer
  • Answer for this question
    6·2 answers
  • no fake answers for the last time and no links please I will actually report you. answer the question and EXPLAIN it!!!!​
    15·1 answer
  • The scale of a map is 1in.:75km. Determine the distance between two towns that are 5.6 in. apart on the map.
    9·1 answer
  • The six part of the age that I will have in 4 years
    12·1 answer
  • Please help
    7·1 answer
  • Find the slope of the line passing through (-8, 10) and (-8, -7).
    13·2 answers
  • Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x +
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!