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Anastaziya [24]
3 years ago
6

The Math problem is called "Multiply Imaginary Numbers' How do you solve (−10√3)(7√−10)

Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

-700√3 √-

Step-by-step explanation

(-10√3) (7√-10)

Remove the parentheses

-10√3 * 7√- * 10

Multiply numbers: 10*7*10=700

Answer:

-700√3  √-

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What are the coordinates of the image of the point (1-, 2) under a dilation of 3 with the origin
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Answer:

The image of the point (1, -2) under a dilation of 3 is (3, -6).

Step-by-step explanation:

Correct statement is:

<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>

From Linear Algebra we get that dilation of a point with respect to another point is represented by:

\vec P' = \vec R + r\cdot (\vec P-\vec R) (Eq. 1)

Where:

\vec R - Reference point with respect to origin, dimensionless.

\vec P - Original point with respect to origin, dimensionless.

r - Dilation factor, dimensionless.

If we know that \vec R = (0,0), \vec P = (1, -2) and r = 3, then the coordinates of the image of the original point is:

\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]

\vec P' = (0,0) + 3\cdot (1,-2)

\vec P' = (3,-6)

The image of the point (1, -2) under a dilation of 3 is (3, -6).

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Step-by-step explanation:

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