Find the coordinates of the orthocenter of a triangle with the vertices (5,3), (8,6), (0,14) at each set of points on a coordinate plane?
Answers
Answer:
coordinates of the orthocenter = (8, 6)
Step-by-step explanation:
I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.
I have also drawn altitude from from A perpendicular to BC at point D.
Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)
m = (y - y1)/(x - x1)
Our coordinates are; A(5,3), B(8,6), C(0,14)
Thus;
Slope of AC; m = (14 - 3)/(0 - 5)
m = -11/5
Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11
Thus, equation of BE is;
(y - 6) = (5/11)(x - 8)
Multiply through by 11 to get;
11y - 66 = 5x - 40
11y - 5x = 66 - 40
11y - 5x = 26
Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1
AD is perpendicular to BC, thus slope of AD = -1/-1 = 1
Equation of AD is;
(y - 3) = 1(x - 5)
y - 3 = x - 5
y = x - 5 + 3
y = x - 2
Putting x - 2 for y in equation of BE, we have;
11(x - 2) - 5x = 26
11x - 22 - 5x = 26
6x - 22 = 26
6x = 26 + 22
6x = 48
x = 48/6
x = 8
Put 8 for x in equation AD, then y = 8 - 2 = 6
coordinates of the orthocenter = (8, 6)
Related Questions
Which table does NOT represent a linear function?
Answers
Answer:
table 4 does NOT represent a linear functionStep-by-step explanation:
HOPE IT HELPS ❤❤❤❤❤Answer:
it's the one with 15,18,20,21
Step-by-step explanation:
Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant
A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?
Answers
Answer:
t=9.40865\approx 9.4 \text{ years}
t=9.40865≈9.4 years
Step-by-step explanation:
There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?
Answers
Answer:
by taking Hcf of 96 and 72 we get 4 so each team have 4
'24' teams can be made with each team having 4 girls and 3 boys.
Given that,
No. of girls = 96
No. of boys = 72
Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.
96 = 2 * 2 * 2 * 2 * 2 * 3
72 = 2 * 2 * 2 * 3 * 3
GCF = 2 * 2 * 2 * 3 = 24
Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:
No. of girls in each team = Total girls/no. of teams
= 96/24
= 4 girls
No. of boys in each team = Total boys/no. of teams
= 72/24
= 3 boys
Thus, each team will have 4 girls and 3 boys.
Learn more about 'Greatest Common factor' here:
brainly.com/question/1983426
Pls help I’ll give brainliest
Answers
Answer:
B.
yeah. thats the answer.
Find the value of x. Round to
the nearest tenth.
17°
47
X = [
Answers
The answer to nearest tenth is 45.0
(4x−3)(3x+6) how can i find the terms
Answers
Step-by-step explanation:
(4x-3)(3x+6)
4x(3x+6)-3(3x+6)
12x+24-9x-18
12x-9x+24-18
3x+6
x=6/3
x=2
x-y=5 and x+y=-10 is this parallel, perpendicular, or neither?
Answers
Answer:
Its perpendicular
Step-by-step explanation:
You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.
HelP I have to turn this in tomorrow!!!
Answers
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answers
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters
Answers
Answer:A=452.16
Step-by-step explanation:
A=π·r²
A=3.14·12²
A=3.14·144
A=452.16
Solve for x and show your work.
12 = -4(-6x - 3) HELP
Answers
Answer:
12= (24x+12) 0=24x Hope this helpsAnswer:
x=0
Step-by-step explanation:
what equation represents the line shown on the graph
Answers
Answer:
y = - x + 2
Step-by-step explanation:
the slope is negative, so eliminate choice 2 and 3.
the y intercept is 2 and the slope is -1, hence the answer is choice 4
△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
A. ∠1≅∠B
B. m∠BAC+m∠C+m∠2=180°
C. m∠1+m∠BAC+m∠2=180°
D. ∠1≅∠C
E. ∠2≅∠A
Answers
Answer:
I think a) and c is correct.
Which type of transformation is shown in the figure on
the left?
O translation
O reflection
O rotation
O dilation
The answer is reflection
Answers
yea the answer is reflection
The type of transformation that's shown in the figure on the left is; reflection
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs,
A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.
The answer is; reflection
Learn more about reflection here;
https://brainly.com/question/28186407
#SPJ6
A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?
(A) 4/5
(B) 9/4
(C) 9/13
Answers
Answer:
(C) 9/13
Plzzzzz give me Brainliest!!!!!
Answer:
C. 9/13
Step-by-step explanation:
It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously
please answer this question I would highly appreciate it if it was answered or looked on, please
Answers
Answer:
The correct answer would be C
Step-by-step explanation:
What is the slope of the line ?
Answers
Answer:
1/2
Step-by-step explanation:
You need to start at any point on the line. Then, you count up one point. Next you count over to the right as many times as you need to get to the line. Since that number will be 2, the answer becomes 1/2.
PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?
A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)
Answers
Answer:
(-4,5) is located on the 2nd quadrant
Answer:
(-4, 5)
Step-by-step explanation:
Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.
Seems easy but this has my brain hurting.
Answers
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
Someone help with this please
Answers
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
How much interest is earned when the principal amount is $250, the annual simple interest rate is 1%, and the number of years is 10? (
Answers
Answer:
240.1
Step-by-step explanation:
brainly and points! :)
Answers
Answer:
[tex]D. k \leq -25[/tex]
Step-by-step explanation:
[tex]2 - \frac{k}{5} \geq 7\\-2\\\frac{-k}{5}^{-5} \geq 5^{-5} \\k \leq -25[/tex]
Answer:
D. k≤ - 25
Please give me brainliest gunna is the best rapper ever he is better than spottem gottem. spottem gottem sucks
(-6.5)
( 7, 5)
What is the slope
Answers
Answer:
m = 0
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]
Hope this helps
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answers
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft
Answers
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me
There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)
A) 35 B) 30 C) 16 D) 17
please show how
Answers
Answer:
Answer: 35
Step-by-step explanation:
five out of every eight are carrying suitcases, so muiltiply 5/8 times 56 to get 35
92
7683
What the answer
Answers
Answer:
9
Step-by-step explanation:
Which is the net for this rectangular prism?
Answers
Answer:
probably c
Step-by-step explanation:
Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.
Answers
Answer:
[tex]-21 < 109[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$109[/tex]
[tex]Checking = -\$21[/tex]
Required
Represent as an inequality
On a number line -21 comes before 109 (from left to right)
This means that -21 is smaller/lesser than 109.
So, the inequality that compares the two account values is:
[tex]-21 < 109[/tex]
Find the difference (6d+5)−(2−3d)
Answers
Answer:
9d+3
Step-by-step explanation:
(6d+5)-(2-3d)= cancel out parentheses
6d+5-2+3d= Commutative property of addition
6d+3d+5-2= Group like terms
(6d+3d)+(5-2)= Combine like terms
Answer = 9d+3