Answer:
x-y=-3
Step-by-step explanation:
Answer:
D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'
Step-by-step explanation:
When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.
Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).
If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.
The figure below shows the segments YZ and Y'Z'.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The height that would be allowed with a ramp 43.5 feet long is ...
h = (43.5 ft)·sin(4.8°) ≈ 3.64 ft
The proposed height is less than 3.64 ft, so the ramp angle is less than 4.8°.
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The ramp angle is actually arcsin(3/43.5) ≈ 3.95°, which is less than 4.8°.