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Karo-lina-s [1.5K]
3 years ago
9

18x-10-6x=50 This is another question on my quiz I really need help

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
The answer is got is X=5 :)
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Answer:

First one

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42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor
jasenka [17]

The second matrix \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right] represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

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The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]

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To multiply 9x475 using expanded form and the distributive property, you will break 475 into three numbers, multiply each of them by 9, and add the products together:

475 = 400 + 70 + 5

400x9 = 3600
70x9 = 630
5x9 = 45

3600 + 630 + 45 = 4,275
3 0
3 years ago
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