31x^2 + 53x - 8
Use the FOIL method to find the area of the large rectangle. (7x - 2)(9 + 5x)
First term in each binomial: 7x * 9 = 63x
Outside terms: 7x * 5x = 35x^2
Inside terms: -2 * 9 = -18
Last term in each binomial: -2 * 5x = -10x
Now, just add them all up.
63x + 35x^2 - 8 - 10x
35x^2 + 53x - 8
Now find the area of the square.
2x * 2x = 4x^2
Now, subtract the areas.
31x^2 + 53x - 8
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Answer:
9/16
Step-by-step explanation:
i took the test ;)
Answer:
Rotation
Step-by-step explanation:
A transformation of a triangle can be either dilation or reflection or rotation or a translation.
Dilation happens when a symmetric figure is formed with scale factor other than 1. But here both triangles have same side length. Hence no dilation
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle. Here DEF is rotated without disturbing its shape or size through a certain angle. Hence rotation is right
Translation is not right because there is no vertical or horizontal shift to get new triangle.
