The scale of the diagram as described in the task content is; 1: 8 where k= 8.
<h3>What is the scale of the diagram?</h3>
It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.
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4x + 4° + 4x - 32° = 180°
8x - 28° = 180°
8x = 180° + 28°
8x = 208°
x = 26°
Answer:
Roots are x=6 and - 4
Step-by-step explanation:
2(x-6)(x+4)=0
(x-6)=0 or (x+4)=0
x=6 or x=-4, their multiplicities is 1
Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
