Please anyone help me with this question

The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….

Dominik [7]

Answer:

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

Step-by-step explanation:

Given

$(x_1,y_1,z_1) = (1,3,-2)$

$(x_2,y_2,z_2) = (4,5,0)$

$(x_3,y_3,z_3) = (6,3,9)$

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

$C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))$

Substitute values of x and y in the given equation

$C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))$

$C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))$

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

The above is the coordinate of the centroid

8 0

2 years ago

Solve for h. –2 − 10h = –11h − 20

Delvig [45]

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-2 - 10h = -11h - 20

+ 2

- 10h = -11h - 18

+ 11h

h = -18

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- Ally ✧

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5 0

3 years ago

Read 2 more answers

What is ∛1728. Then multiplied by ∛14903

NeTakaya

Cube root of 1728 is 12 and on multiplying it by cube root of 14903 we get 295.306.

Solution:

Need to calculate $\sqrt[3]{1728}$ and then multiply the result by $\sqrt[3]{14903}$

Let us first evaluate $\sqrt[3]{1728}$

$\Rightarrow \sqrt[3]{1728}=\sqrt[3]{12 \times 12 \times 12}=12$

As need to multiply 12 by $\sqrt[3]{14903}$

$\Rightarrow 12 \times \sqrt[3]{14903}$

On solving $\sqrt[3]{14903}$ , we get

$\sqrt[3]{14903}=24.608$

$\Rightarrow 12 \times \sqrt[3]{14903}=12 \times 24.608=295.306$

Hence cube root of 1728 is 12 and on multiplying it by cube root of 14903 we get 295.306.

8 0

2 years ago

Write the vertex form of the equation of the parabola that has a vertex of (-6,-5) and passes through the point (-8,6)

Anastaziya [24]

Answer:

Step-by-step explanation:

Find the parabola through ( − 8 , 6 ) with vertex ( − 6 , -5 ) .

Standard Form: y = − 11 /4x ²− 44 x − 170

Vertex Form: y = − 11 /4 ( x + 8 ) 2 + 6

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7 0

2 years ago

Garth got 117 votes in the class election. 240 people voted. What percent of all the votes did he get? Which equation does NOT r

erastova [34]

Faci 240+117=357,sper ca team ajutat multumestemi

3 0

2 years ago

Please anyone help me with this question​

Please anyone help me with this question