Mathematics High School

Find the centroid of ABC if
A = (2, 2), B = (-1,0), and C = (8,4).
([?], [ ])

Answers

Answer 1

Answer:

The centroid of ABC is (3 , 2).

Step-by-step explanation:

The steps are :

[tex]centre = ( \frac{x1 + x2 + x3}{3} \: , \: \frac{y1 + y2 + y3}{3} )[/tex]

[tex]centre = ( \frac{2 + ( - 1) + 8}{3} \: , \: \frac{2 + 0 + 4}{3} )[/tex]

[tex]centre = ( \frac{9}{3} \: , \: \frac{6}{3} )[/tex]

[tex]centre = (3 \: , \: 2)[/tex]

Answer 2

Answer:

The centroid of ∆ABC is (3 , 2).

Step-by-step explanation:

Solution :

Here's the required formula to find the centroid of ∆ABC :

[tex]{\star{\footnotesize{\purple{\underline{ \boxed{\sf{\pink{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}}}}}[/tex]

Where :

[tex]\rightarrow\rm{x_1}[/tex] = 2[tex]\rightarrow\rm{x_2}[/tex] = -1[tex]\rightarrow\rm{x_3}[/tex] = 8[tex]\rightarrow\rm{y_1}[/tex] = 2[tex]\rightarrow\rm{y_2}[/tex] = 0[tex]\rightarrow\rm{y_3}[/tex] = 4

Substituting all the given values in the formula to find the centroid of ∆ABC

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 + ( - 1) + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 - 1 + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{10 - 1}{3} \: , \: \dfrac{2 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{9}{3} \: , \: \dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \cancel\dfrac{9}{3} \: , \: \cancel\dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \Big( 3\: , \: 2 \Big)}}}}[/tex]

[tex]\star{\underline{\boxed{\rm{\red{Centroid = \Big( 3\: , \: 2 \Big)}}}}}[/tex]

Hence, the centroid of ∆ABC is (3 , 2).

[tex]\rule{300}{1.5}[/tex]

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Answer:

Step-by-step explanation:

a (-5 + 3) = -2 ; (-7-4) = -11

Select the three expressions that are equivalent to

-2(4 - 3x) + (5x - 2).

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Step-by-step explanation:

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What is an equation of the line that passes through the point (7,-7) and is perpendicular to the line x-2y=2x−2y=2?

Answers

Answer:

y=−2x+7

Step-by-step explanation:

The other moron doesn't understand simple math.

An equation of the line that passes through the point (7,-7) and is perpendicular to the line x - 2y = 2 will be 2x + y = 0.

What is Slope of Line ?

We have the given line x - 2y = 2 which is in form ax + by = c As we know that slope of line ax + by = c will be -(a/b).

Therefore For given line x -2y = 2 value of a will be 1 and value of b will be -2. Therefor Slope of given line will be -(a/b) = -(1/-2) = 1/2.

Now As we know that slope of two lines which are perpendicular to each other has product of there slopes as negative of unity that is -1.

Let the slope of line which we have to find be m also we have slope of given line as 1/2.

∴ m(1/2) = -1

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∴ m = -2.

Now as we know that line passes through the point given as (7,-7) and has slope m = -2.

Therefore equation of a line passing through a point (x₁, y₁) and have slope m will be given as

y - y₁ = m(x - x₁)

∴ y - (-7) = -2(x - 7)

∴ y + 7 = -2x -(-7)

∴ 2x + y = 7 - 7

∴ 2x + y = 0

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Put these numbers in descending order.
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0.88
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Answers

The descending values of the numbers is 0.98 > 0.925 > 0.88 > 0.7

Given data ,

Let the numbers be represented as A

Now , the value of A is

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And , arranging in the descending order means from the greatest to the least value

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Triangle CDE is dilated by a scale factor of 1/ 3 to form triangle C'D'E'. Side CD measures 42. What is the measure of side C'D'? ASAP!!!

Answers

Answer:14

Step-by-step explanation:

The measure of C'D' is 14.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Triangle CDE is dilated by a scale factor of 1/3 to form triangle C'D'E'.

This means,

CD = 42

C'D' = 1/3 x 42 = 14

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C'D' is 14.

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Answers

He saves $8.10 for his new skateboard

Answer:

$8.10

Step-by-step explanation:

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153

Step-by-step explanation:

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el termómetro sería de 4 grados Celsius negativos

Step-by-step explanation:

¡Espero que esto ayude!

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Answers

Answer:

Area = 9 cm²

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

(0, -4)

Step-by-step explanation:

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Answer:

A. Angles M and D

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

(-4,-1)

Step-by-step explanation:

Try plugging into Desmos Graphing Calculator

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

(-4,-4)

Step-by-step explanation:

Delta math

According to graph, the coordinates of the vertex of the parabola are (-4,-4).

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"A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped."

Vertex of parabola

"The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form, the vertex will be the minimum (lowest point) of the graph and the maximum (highest point) of the graph.

After analysing the graph, the vertex of the parabola are (-4,-4)

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Two groups of students were asked how far they lived from their school. The table shows the distances in miles:

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Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.

Answers

Answer:

Step-by-step explanation

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Answer:

Step-by-step explanation:

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Formula: is/of = %/100

Which side in WXYZ corresponds to OP in MNOP
A. XW
B. XY
C. YZ
D. MN

Answers

Answer:

Y and Z because just move the shape side ways and u can find the corresponding side.

en una encuesta a 200niños sobre el programa de T.V. que más les gusta ver ,se encontró que a 30 niños ven dibujos animados 45 niños miran películas animadas solamente 55niños miran programas sobre animales 38 niños miran programas sobre animales y dibujos animados 32 niños miran los tres tipos de programas encuentra el porcentaje de cada grupo

Answers

Answer:

15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

Step-by-step explanation:

Dado que en una encuesta a 200 niños sobre el programa de TV que más les gusta ver se encontró que 30 niños ven dibujos animados, 45 niños miran películas animadas, 55 niños miran programas sobre animales, 38 niños miran programas sobre animales y dibujos animados y 32 niños miran los tres tipos de programas, para determinar el porcentaje de cada grupo se deben realizar los siguientes cálculos:

30/200 = 15/100 = 15%

45/200 = 22.5/100 = 22.5%

55/200 = 27.5/100 = 27.5%

38/200 = 19/100 = 19%

32/200 = 16/100 = 16%

Así, 15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

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Find the centroid of ABC if
A = (2, 2), B = (-1,0), and C = (8,4).
([?], [ ])