what is the average of the points a, b and c with weights 1, 1 and 3 respectively?

Question

Accepted Answer

# Explanation:
## Step1: Find coordinates of points
From the graph, $A(-4,-3)$, $B(-4,-6)$, $C(-6,2)$.
## Step2: Use weighted - average formula for coordinates
For $x$ - coordinate:
$$
\begin{align*}
x&=\frac{1\times(-4)+1\times(-4)+3\times(-6)}{1 + 1+3}\
&=\frac{-4-4 - 18}{5}\
&=\frac{-26}{5}=-5.2
\end{align*}
$$
For $y$ - coordinate:
$$
\begin{align*}
y&=\frac{1\times(-3)+1\times(-6)+3\times2}{1 + 1+3}\
&=\frac{-3-6 + 6}{5}\
&=\frac{-3}{5}=-0.6
\end{align*}
$$

# Answer:
$(-5.2,-0.6)$

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QUESTION IMAGE

Question

Explanation:

Step1: Find coordinates of points

Step2: Use weighted - average formula for coordinates

Answer: