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2 years ago

What are the coordinates of the centroid of a triangle with vertices

2 answers:

6 0

$\bf ~~~~~~~~\textit{Centroid of a Triangle}\\\\
\begin{array}{llll}
P(x_1,y_1)\quad Q(x_2,y_2)\quad R(x_3,y_3)\\ \quad \\
\left(\cfrac{x_1+x_2+x_3}{3}\quad ,\cfrac{y_1+y_2+y_3}{3}\quad \right)
\end{array} ~~ \begin{array}{llll}
P(-4,-1)\quad Q(2,2)\quad R(2,-3)\\ \quad \\
\left(\cfrac{-4+2+2}{3}\quad ,\cfrac{-1+2-3}{3}\quad \right)
\end{array}$

IceJOKER [234]2 years ago

4 0

First let's find the lengths if the sides:
$PQ = 3 \sqrt{5} \\ pr = 2 \sqrt{13} \\ qr = 5$

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Enter a rational equation for the real-world application. Do not solve.

ratelena [41]

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data:image/png;base64,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2 years ago

explain how the position of the decimal point changes in a quotient as you divide by increasing powers of ten

olga55 [171]

So we need to see how does the decimal point change it's place in the quotient when we divide any number by increasing powers of 10. Lets start with number 1. The decimal point is: 1.0 and when we divide by 10^1=10 we get 1/10=0.1. The decimal point has moved one place to the left. Now lets divide 1 by 10^2 and we get 1/100=0.01. Again, the decimal point has moved one more place to the left. Now: 1/10^3 = 1/1000 = 0.001. Next would be 0.0001, next one would be 0.00001 and so on.

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3 years ago

PLEASE HELP ME I NEED THIS ANSWER FOR ALGEBRA!

Marizza181 [45]

Answer:

$radius = 6.2$

Step-by-step explanation:

so you already have the formula, which is

$\sqrt[3]{ \frac{3v}{4\pi} }$

the v represents Volume.

and 3v would be 3×volume.

$\sqrt[3]{ \frac{3 \times 1000}{4 \times \pi} }$

$\sqrt[3]{ \frac{3000}{12.56637061} }$

$\sqrt[3]{238.7324147 }$

$= 6.20350491$

to the nearest tenth place.

$= 6.2$

4 0

2 years ago

Tell the slope of a line that contains the points (5,-3) and (7,3)

KiRa [710]

(5,-3)(7,3)
slope = (y2 - y1) / (x2 - x1)
slope = (3 - (-3) / (7 - 5) = (3 + 3) / 2 = 6/2 = 3 <==

6 0

2 years ago

Read 2 more answers

Solve 7x+2y=16 5x-2y=20 x= y= (3 marks)

sasho [114]

X=3 and y=-5/2. Here is why, when we do 7x+5x that gives us 12x. -2y+2y=0 and then we have 16 plus 20 which gives us 36. Now we gotta isolate x which right now we have 12x=36. Therefore divide by 12 to get x alone, which 36 divided by 12 is equal to 3. X=3. Plug it back into the equation, 7(3)=21 plus 2y=16. Subtract 21 from both sides 16-21 is equal to -5. Then 2y=-5 divide by 2 on both sides you will have -5/2=y or y=-5/2. Hope this helps!

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2 years ago