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Bogdan [553]
3 years ago
12

What is the answer? :)

Mathematics
1 answer:
Xelga [282]3 years ago
8 0

Your answer is :

X = 48 !

:) <3

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What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the
kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)


<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.


Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.


We find the midpoint of AC using the formula;

N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})



N=(\frac{-3+5}{2}, \frac{1+2}{2})


N=(\frac{2}{2}, \frac{3}{2})


N=(1, \frac{3}{2})


The equation of the median passes through B(1,6) and N=(1, \frac{3}{2}).


This line is parallel to the y-axis hence has equation

x=1-------first median.



We also find the midpoint M of BC.

M=(\frac{1+5}{2}, \frac{6+2}{2})


M=(\frac{6}{2}, \frac{8}{2})


M=(3, 4)


The slope of the median, AM is


Slope_{AM}=\frac{4-1}{3--3}


Slope_{AM}=\frac{3}{6}


Slope_{AM}=\frac{1}{2}


The equation of the median AM is given by;


y-y_1=m(x-x_1)


We use the point M and the slope of AM.


y-4=\frac{1}{2}(x-3)


2y-8=(x-3)


2y-x=-3+8


2y-x=5-------Second median

We now solve the equation of the two medians simultaneously by putting x=1 in to the equation of the second median.


2y-1=5


2y=5+1


2y=6


y=3


Hence the centroid has coordinates (1,3)























7 0
2 years ago
Read 2 more answers
Children pick their favorite sports team 35% pick basketball 28% pick hockey what percent pick football
Kay [80]
37% pick football

35+28=63
100-63=37
7 0
2 years ago
15 POINTSSS<br> Need Anwsered Asap!
german
The equation we will use here is A^2+B^2=C^2, which is also know as the Pythagorean Theorem.
The given values are 6 and 9, where they can represent any value, there true values in the equation would be 36(6), and 81(9), so you must select a value that makes the equation true, given the constraints.

with that being said 3, doesnt work because
·36(6)+9(3)≠81(9)
·9(3)+81(9)≠36(6)
·36(6)+81(9)≠9(3)

10 doesnt work either because
·36(6)+81(9)≠100(10)
·81(9)+100(10)≠36(6)
·100(10)+36(6)≠81(9)

12 doesnt work either because 
·144(12)+36(6)≠81(9)
·36(6)+81(6)≠144(12)
·81(9)+144(12)≠36(6)

If you see where this is going you would know that there is no valid solution here, however rounding is always a possibility, when you actually do the math 81(9)+36(6)=117, and when squared you get your answer of 10.8, and the closest answer is 10, there fore your answer would be 10

-I hope this is the answer you are looking for, feel free to post your questions on brainly at any time.



5 0
3 years ago
What does 20 * 1 * 2 equal?
ladessa [460]

Answer:

40

Step-by-step explanation:

20 * 1

= 20

20 * 2

= 40

5 0
3 years ago
Read 2 more answers
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is a0 years old. Harvey is a1 ye
Vinvika [58]
Harvey is 36, jane is 12

7 0
3 years ago
Read 2 more answers
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