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valentinak56 [21]
3 years ago
8

Pleeeeease check this out and see if it's correct

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

<u>Answer-</u>

<em>The answer is correct.</em>

<u>Solution-</u>

The length of the side WX of the figure WXYZ = 8 m

The length of the side W'X' of the dilated figure W'X'Y'Z' = 6 m

We know that

dilation \ factor =\frac{length \ of \ the \ segment \ W'X'}{length \ of \ the \ segment \ WX} =\frac{6}{8} =\frac{3}{4}

( If the absolute value of the scale factor is greater than 1, then the image will be larger than the pre-image and vice-versa. A negative scale factor causes the dilation to rotate 180 degrees )

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The initial equation is:
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What is the slope of the line with points (1, 2) and (4, 2)?
tigry1 [53]

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Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

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4 years ago
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