The coordinates of the orthocenter of ABC are (6,4).
The correct option is C) (6,4).
What is an orthocenter of a triangle?
In geometry, an orthocenter is a point in a triangle that is the intersection of the three lines containing the altitudes of the triangle. An altitude of a triangle is a line segment from a vertex of the triangle to the line containing the opposite side, and is perpendicular to that side. The orthocenter of a triangle is the point where all the altitudes of a triangle meet.
To find the orthocenter of a triangle, the first step is to find the equation of the altitudes from each vertex. Then, we can find the point of intersection of these three lines.
Given the triangle ABC with vertices A (2,6), B (8,6), and C(6,2),
The equation of altitude from vertex A is (x-2) = -2(y-6)
The equation of altitude from vertex B is (x-8) = -2(y-6)
The equation of altitude from vertex C is (x-6) = 2(y-2)
By solving the system of these three equations, we can find the coordinates of the orthocenter.
Hence, The coordinates of the orthocenter of ABC are (6,4).
The correct option is C) (6,4)
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Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)
the ones in parenthisis r the answer choices
Answer:
Zero frequency:
✔ 351–400
A peak:
✔ 651–700
Step-by-step explanation:
Answer:
zero frequency
351-400
A peak
651-700
Step-by-step explanation:
helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz
Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answer:
√3
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2 + b^2 = c^2
In this case, c = 2, which means that a^2 + b^2 = 4
Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1
Therefore, b^2 = 3
So, the answer is square root 3
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f(n) = 2• (-3)^n
complete the recursive formula of f(n).
f(1) = ____
f(n) = f(n - 1) • ____
Answer:
[tex]f(1)=-6[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Step-by-step explanation:
We are given that
[tex]f(n)=2\cdot (-3)^n[/tex]
We have to complete the recursive formula of f(n).
Substitute n=1
[tex]f(1)=2\cdot (-3)[/tex]
[tex]f(1)=-6[/tex]
[tex]f(2)=2\cdot (-3)^2=18[/tex]
[tex]f(3)=2\cdot (-3)^3=-54[/tex]
[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
It forms geometric sequence because the ratio of two consecutive terms are equal.
Therefore, the recursive formula
[tex]f(n)=f(n-1)r[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Answer:
f(1) = -6
f(n)= f(n−1)⋅ -3
Step-by-step explanation:
The ratio of small dogs to large dogs at a show is 4:3. If there are a total of 56 dogs in the show, how many are large dogs?
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
2/5 of 146 as a decimals
7/20% off 25 is what?
Answer:
As a fraction: 7/80
0.0875
Step-by-step explanation:
If you meant 20% it is 5.
Can anyone help me with this please?
Answer: 3/1
Step-by-step explanation:
use the 2 bottom ones
What is the y-intercept of the line in the picture
Answer:
-2
Step-by-step explanation:
Locate the opposite of the number 1 5/8 on this number line. Draw a dart on correct position of the number line
Answer:
-1 5/8
Step-by-step explanation:
Opposite of 1 5/8 is -1 5/8
write the fraction in ascending order.
1) 2 , 5 , 1 , 3
----- ----- ----- ----
3 6 2 4
2) 4 , 5 , 3 , 1
---- ----- --- ---
5 8 4 2
QUESTION 1 :
find the LCM of 3,6,2,4
LCM = 12
THEREFORE,
2/3*4/4 = 8/12
5/6*2/2 = 10/12
1/2*6/6 = 6/12
3/4*3/3 = 9/12
8/12 , 10/12 , 6/12 , 9/12
Ascending order of ( 8/12 , 10/12 , 6/12 , 9/12)
= 6/12 , 8/12 , 9/12 , 10/12
So, 6/12 = 1/2
8/12 = 2/3
9/12 = 3/4
10/12 = 5/6
THEREFORE
Ascending order = 1/2 , 2/3 , 3/4 , 5/6
10÷2-3+1=3 where do the parentheses go?
Answer:
The parantheses go around the (10 / 2)
Step-by-step explanation:
The expression would be:
(10 / 2) - 3 + 1 = 3
And when you solve it,
It would simplify to:
5 - 3 + 1
go from left to right and you get 3
The slash means division, I don't know how to type a division sign on brainly lol
which expression is equivalent to (x ^4) ^-5
Answer:1/x^20
Step-by-step explanation:
Answer:
[tex]\frac{1}{x^{20}}[/tex]
Step-by-step explanation:
[tex](x^{4})^{-5}[/tex] = [tex]\frac{1}{(x^{4})^{5}}[/tex] = [tex]\frac{1}{x^{20}}[/tex]
You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
Answer:
Look Below
Step-by-step explanation:
7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.
The system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
To write a system of inequalities.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given that:
The system of equation of inequalities are
h+s≤35
7h + 9s >_314
Therefore , the system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
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prove that the polynomials are nonnegative a^2-2ab+b^2+c^2
Answer:
a2 + b2 + c2 - ab - bc - ca
= (1/2)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)
= (1/2)(a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2)
= (1/2)[(a-b)2 + (b-c)2 + (c-a)2]
Now we know that, the square of a number is always greater than or equal to zero.
Hence, (1/2)[(a-b)2 + (b-c)2 + (c-a)2] ≥ 0 => it is always non-negative.
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?
Answer:
Wmkwkqkw siwiq q wksos ww wkwlwkw wlw
Answer:
$840
Step-by-step explanation:
4000 x .07= 280
280 x 3 = 840
49x^2 -_x + 16
Can someone help with the missing number
Step-by-step explanation:
I'm guessing this is competing the perfect square
so it's 56
Answer:
Step-by-step explanation:
4x² + 28x + 49
4x² + 14x + 14x + 49
2x(2x) + 2x(7) + 7(2x) + 7(7)
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
= 28
Help me for a cookie
Answer:
49
Step-by-step explanation:
SUBTRACTION IDIOT
Answer:
X= 49
Step-by-step explanation:
Right angle= 90 degrees = subtraction (90-41)
A blood bank needs 6 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 6 can be formed from the 13 volunteers.
The number of different groups of 6 that can be formed from the 13 volunteers is; 1716
How to solve permutation and combination?
This is a combination question that follows that formula;
nCr = n!/(r!(n - r)!)
We are told that the blood bank needs 6 people to help with a blood drive and that 13 have already volunteered.
Thus, number of different groups of 6 that can be formed from the 13 volunteers is;
¹³C₆ = 1716
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I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60
Step-by-step explanation:
Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16
Answer:
multiply the second equation by - 2
Step-by-step explanation:
Given the 2 equations
5c + 4d = 10 → (1)
3c + 2d = 16 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate d
- 6c - 4d = - 32 → (3)
Add (1) and (3) term by term to eliminate d
- c + 0 = - 22
- c = - 22 ( multiply both sides by - 1 )
c = 22
Substitute c = 22 into either of the 2 equations and solve for d
Substituting into (2)
3(22) + 2d = 16
66 + 2d = 16 ( subtract 66 from both sides )
2d = - 50 ( divide both sides by 2 )
d = - 25
solution is c = 22, d = - 25
The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
C. y= x + 10
D. y= x-10
what equation?
Phil is buying a sandwich. He has the following choices.
Bread: wheat (W), italian (I), baguette (B)
Cheese: grated (G), sliced (S)
Meat: chicken (C), turkey (T), fish (F), ham (H)
If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?
WIG, WCT, WGS, WST
WG, WS, WC, WT
WGT, WGF, WSC, WSH
WGSC, WGT, WBS, WGSF
Answer:
its WG, WS, WC, WT
Step-by-step explanation:
Answer:
wgt, wgf, wsc, wsh
Step-by-step explanation:
What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?
Answer:
Step-by-step explanation:
Let's perform this division using synthetic division. The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):
-7 / 3 20 -11 -28
-21 7 28
-------------------------------------
3 -1 -4 0
Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}. The quotient is therefore
3x^2 - x - 4
C = -y - a/b
Solve the variable a
Can you please show each step
65/100 as a dollar amount
Answer:
The answer is $0.65, or 65 cents.
Answer:
$.65
Step-by-step explanation:
so 65 cents
An article marked at ₹50 is sold for ₹45. What is the
rate of discount?
Answer:
Your answer is
Rate of discount = 10%
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Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?
Answer:
The sample space for given condition is
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)
(1,6),(2,6),(3,6),(4,6),(5,6)
(1,5),(2,5),(3,5),(4,5)
(1,4),(2,4),(3,4)
(1,3),(2,3)
(1,2)
Number of sample space is 28.
Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is
28
2
=
14
1
Step-by-step explanation:
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Which linear function represents the table
PLEASE HELP ME ILL GIVE BRAINLIEST
Answer:
the answer is B y=6x+2
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Hope this helps.