50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
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Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
Related Questions
Pratibha spends 5 3/4 hours in school. He spends 4 1/4 hours for classes and 3/4 hours for lunch break. She spends the remaining time on sports. How much time does she spend on sports?
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Answer:
13 hours and 15 minutes of her day are spent on sports if she doesn't sleep.
Step-by-step explanation:
HELP PLS ILL MARK BRAINLIEST
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PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST
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Answer:
The answer is 45
Step-by-step explanation:
First, you find what is half of 30 by dividing 30 by 2
30/2 = 15
Then you add 15 to 30 since you have to increase it by 1/2
30 + 15 = 45
I hope this helped and have a great day!
Can someone help me slove this plss. :-)
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Answer:
Step-by-step explanation:
.
Please help me!
[One Step Inequalities]
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Answer: B
Step-by-step explanation:
Answer:
x is greater than or equal to 4
Step-by-step explanation:
divide both sides by two, treating it as an equation
so x is greater than or equal to 4
Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.
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Answer:
Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
Step-by-step explanation:
From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.
Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour.
This can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter.
From the graph shown, we can see that the intersection point is (2,3).
When using the graphing method to solve a system of equations, the intersection point is the answer.
In this case, x = 2 and y = 3.
Thus, Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.
Learn more about equations here;
https://brainly.com/question/25180086
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please someone give me an actual answer.
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Answer:
option 2
Step-by-step explanation:
find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth
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Answer:
X = 2.4
MN = 7
JL = 7.4
Step-by-step explanation:
who's holika & who is bhakt prahlad ????
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Answer:
Hello There!!
Step-by-step explanation:
The answer is that there was once a demon king called Hiranyakashyap, who believed that he was more powerful than the all the gods and he wanted everyone like all the people to worship him but his son, Prahlad, did not worship his father.
hope this helps,have a great day!!
~Pinky~
David correctly graphed an inequality as shown below. -10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 The inequality David graphed was written in the form 7 S 2 What is an expression that could be put in place of the question mark so that the inequality would have the same solution set as shown in the graph?
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Y’all I need help on this question:) so if you could please help me I would appreciate it!!
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Answer: [tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Anything to the third power means it is multiplied by itself 3 times.
--> [tex](\frac{1}{3})^{3} =(\frac{1}{3})(\frac{1}{3})(\frac{1}{3})=\frac{1}{27}[/tex]
Would sinA 15/17 be corrrect?
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Answer:
yes
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{17}[/tex]
HELP PLS ASAPP !!! :(
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Complete the equations below.
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Answer:
3.64 ÷ 7 = 364 hundredths ÷ 7
3.64 ÷ 7 = 52 hundredths
3.64 ÷ 7 = 0.52
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?
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Answer:
En 2001 el pueblo poseía 45.826 habitantes.
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:
13.578*1,5= 20.367
Por lo que en 1988 el pueblo poseía 20.367 habitantes.
En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:
20.367* 2,25= 45.825,75≅ 45.826
Por lo que en 2001 el pueblo poseía 45.826 habitantes.
Which expression is equivalent to -28 x 2 + 35 x ?
Answers
Answer:
35+28=31
Step-by-step explanation:
Determine the value of y-x ( •︠ˍ•︡ )
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Answer:
822
rhdjd dbd fn f f fnf f g g
angelica owns 3 1/4 acres of land . she grows cabbage on 3/4 of the land. on how many acres of land does angelica grow cabbage
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Answer:
2.4375 acres for cabbage
Step-by-step explanation:
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
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Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
What is the following number in standard notation?
3.27 • 10 to the power of 5
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[tex]3.27*10^{5}=327000[/tex]
Which could be the measures of the interior angles of a triangle?
A. 50°, 45°, 45°
B. 60°, 60°, 60°
C. 70°, 70°, 70°
D. 80°, 55°, 25°
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Answer:
B. 60°, 60°, 60°
Step-by-step explanation:
All triangle angles add up to 180
A) NOPE
50 + 45 + 45 = 140
B) YUP
60 + 60 + 60 = 180
C) NOPE
70 + 70 + 70 = 210
D) NOPE
80 + 55 + 25 = 160
PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!
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Answer:
1.)280 2.)142.5 3.)30
Step-by-step explanation:
Alyssa is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Alyssa need to invest, to the nearest dollar, for the value of the account to reach $330 in 17 years?
Answers
Answer:
159
Step-by-step explanation:
158.877856673=P
round:
P=159
Answer:
159
Step-by-step explanation:
PLEASE HELP ME
If f(x) = 3x - 6, what is the value of f(-5) ?
A. +9
B. -14
C. -21
D. +2
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If point H(-6, 2) is translated 4 units up and 3 units right, what are the
coordinates of the translated image?
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Answer: H(-3 , 6)
X increase is horizontal
Y increase is vertical
What is the value of |-8|
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Answer: 8
Step-by-step explanation:
The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.
More examples: |9|=9
Have a nice day! :D
Cuánto tiempo debe transcurrir para que un capital de $3,000.00 alcance un monto de $7,000.00, si la inversión se hizo con 5% de interés simple mensual?
Answers
Answer:
27 years approx
Step-by-step explanation:
Given data
Principal P= $ 3,000
Final amount A= $ 7000
Rate r= 5%
The simple interest expression is
A=P(1+rt)
substitute and solve for t
7000=3000(1+0.05t)
7000=3000+150r
7000-3000=150r
4000=150t
t= 4000/150
t= 26.66
Hence, the time is 27 years approx
what is the mean of these four numbers 531, 804, 782, 647
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Answer:
691
Step-by-step explanation:
Please help and right the real answer
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Answer:
(-6,-3) would be the answer
12. A store charges a restocking fee for any returned item based upon the
item price. An item priced at $300 has a fee of $15. What percentage of the
item price is the restocking fee?
A. 4%
B.5%
C.6%
D.7%
