Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.
2 answers:
Answer:
The vertices of image are (-48,48), (24,24) and (72,96).
Step-by-step explanation:
From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).
The scale factor is 12 and the dilation is about the origin.
If a figure is dilated about the origin with scale factor k, then
Since the scale factor is 12.
The vertices of image are
Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.
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Answer:
The value of x for equation is 3.4
The value of y for equation is 5.2
Step-by-step explanation:
Given as :
The two linear equation are
2 x + y = 12 ........A
4 x - 3 y = 2 .........B
Now, Solving both equations , we get
3 × ( 2 x + y ) + (4 x - 3 y) = 3 × 12 - 2
Or, 6 x + 3 y + 4 x - 3 y = 36 - 2
Or, (6 x + 4 x) + (3 y - 3 y) = 34
Or, 10 x + 0 = 34
∴ x =
i.e x = 3.4
So, The value of x for equation , x = 3.4
Put the value of x into eq A
∵ 2 x + y = 12
Or, y = 12 - 2 x
Or, y = 12 - 2 × 3.4
Or, y = 12 - 6.8
∴ y = 5.2
So, The value of y for equation , y = 5.2
Hence, The value of x for equation is 3.4 and The value of y for equation is 5.2 Answer