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user100 [1]
3 years ago
15

What was the rule used for the composite transformation?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0
(x, y) → (x + 1, y + 5)
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What is the volume of a right trianular prism with the dimesions of 15 11 17
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Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = \frac{1}{2}bhl

b - base

h - height

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15 is the height, 17 is the length, and 11 is the width  (assuming which is the base).

V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5

The volume of the prism should be 1402.5 cubic units.

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Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

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Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

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Adding the first and the third equations:

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Replacing in the first equation

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We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

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