Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?
2 answers:
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Answer: 832 cm².
Step-by-step explanation:
1. To calculate the lateral area of the prism by using the net you must:
- Calculate the perimeter of the base:
Where l is the lenght and w is the width:
Then:
- Now you must multiply the perimeter by the height. The height is 13 cm.
Then, the lateral surface area is:
The second matrix 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
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
This is the second option.