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Otrada [13]
2 years ago
12

Find the coordinates of centroid of a triangle whose vertices have coordinates (6,2);(- 3, 4); (3,- 9).

Mathematics
1 answer:
Alex777 [14]2 years ago
6 0

\huge \bf༆ Answer ༄

Let's solve ~

According to formula, the coordinates of Centroid of a triangle are ;

\sf x =  \dfrac{x_1 + x_2 + x_3 }{3}

\sf y =  \dfrac{y_1 + y_2 + y_3 }{3}

So, plug the coordinates of its vertices in the formula to find the required solution !

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x =  \dfrac{6 + ( - 3) + 3}{3}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y =  \dfrac{2+  4  + (- 9) }{3}

Further solving ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x =  \dfrac{6}{3}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y =  \dfrac{ - 3}{3}

Therefore, the required coordinates are ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 2

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y =  - 1

Correct choice is ;

\overbrace{  \underbrace{\underline{ \boxed{ \sf (2 ,-1)}}}}

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kotykmax [81]

y=-\frac{2}{5}x+\frac{19}{5}

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

y=mx+b

Given

m=-\frac{2}{5}

Putting the value of slope in the equation

y=-\frac{2}{5}x+b

To find the value of b, putting the point (-3,5) in equation

5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}

Putting the values of b and m

y=-\frac{2}{5}x+\frac{19}{5}

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

  • brainly.com/question/1557905
  • brainly.com/question/1554024

#LearnwithBrainly

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3 years ago
Vicki ordered an enchilada ($2.75), refried beans ($1.75), rice ($.95), and sparkling water ($1.35). Estimate the cost of her me
PSYCHO15rus [73]
Well the first step is to add all the prices up which adds up to $6.80 and multiply it by 1.15. Since the 1 is for the original price which is 6.8 and the .15 is for the tip. You’re welcome and have a nice day
3 0
3 years ago
Choose the function table that matches the given rule<br> Rule:output=input -2
kirill [66]

Answer:

option B

Step-by-step explanation:

Rule:output=input -2

LEts analyze the table

we use the input and apply the rule to get the output

LEts subtract 2 from input to get the output

Input             Rule (input -2 )            Output

-3                         -3-2                          -5

-7                         -7-2                          -9

6                          6-2                            4

Option B matches with our table

   

7 0
3 years ago
Consider the numbers √27 and √39.
kobusy [5.1K]
√27 = 5.2 (to 1 dp)
√39 = 6.2 (to 1 dp)
A. √39 is greater.
B. 6 is the only whole number between the two.
Hope this helped :)
3 0
3 years ago
A pole that is 3.4 m tall casts a shadow that is 1.54 m long. At the same time, a nearby building casts a shadow that is 35.75 m
inna [77]

Answer:

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Step-by-step explanation:

If the shodow of a 3.4m tall pole is 1.54m tall, and you have the shadow's height, then you make a cross, multiply-divide ratio table.

5 0
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