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Over [174]
3 years ago
12

Three students were asked to evaluate two cubed. The beginning part of their work is shown.

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

<u>Kristen </u>is correct because two cubed is the same as <u>  </u><u>2x2x2  </u>. The value of two cubed is <u>   8   </u>

===================================================

Explanation:

Cubing something means we multiply it by itself 3 times.

A few other examples are shown below

\text{five cubed} = 5^3 = 5*5*5 = 125\\\\\text{eight cubed} = 8^3 = 8*8*8 = 512

As the name "cubed" implies, this concept is useful to find the volume of a 3D cube where all the side lengths are the same.

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Answer:

<em>The endpoint coordinates for the mid-segment are:  (-2,-1) and (1,0)</em>

Step-by-step explanation:

According to the given diagram, the coordinates of the vertices of \triangle BCD are:   B(-3,1), C(3,3) and D(-1,-3)

Now, the endpoints of the mid-segment of \triangle BCD which is parallel to BC will be the mid-points of sides BD and CD.

<u>Formula for the coordinate of mid-point</u> :   (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}), where (x_{1}, y_{1}) and (x_{2}, y_{2}) are two endpoints.

So, the mid-point of BD will be:  (\frac{-3-1}{2},\frac{1-3}{2})=(\frac{-4}{2},\frac{-2}{2})=(-2,-1)

and the mid-point of CD will be:  (\frac{3-1}{2},\frac{3-3}{2})=(\frac{2}{2},\frac{0}{2})=(1,0)

Thus, the endpoint coordinates for the mid-segment of \triangle BCD that is parallel to BC are  (-2,-1) and (1,0)

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