Answer:
The transformation
maps triangle XYZ onto triangle X”Y”Z”.
Step-by-step explanation:
Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.
Now Z = (-2, 2) and Z'' = (-7, -1).
The x-coordinate goes from -2 ⇒ -7.
The y-coordinate goes from 2 ⇒ -1.
The x-coordinate is just shifted by -5; thus, 
, and the y-coordinate first transforms as 
, and is then shifted by 1; thus, it transforms as 
.
So we have the full transformation
Answer:
50 rpm clockwise
Step-by-step explanation:
100/50 × 50/200 × 200/150 × 150/200 = 0.5
In an odd number of gears, the first and last rotate inthe same direction.
100 rpm × 0.5 = 50 rpm
Answer: 50 rpm clockwise
Answer:
(0, 8/3) = y-intercept
Step-by-step explanation:
I chose to find the y-intercept since it is easy to find with the given information.
The equation for a line is y = mx + b
To find the y-intercept, we must plug in the info we have and solve for b:
4 = -1/3 (-4) + b
4 = -4/3 + b
8/3 = b
To find a point on the line, you also could have added -1 to 4 and 3 to -4 since slope means rise/run or change in y/change in x:
(y - 1) / (x + 3) = (4 - 1) / (-4 + 3) = (3, -1) (flip since it's the y and x coordinate) = (-1, 3)
Answer:
≈ 7
Step-by-step explanation:
Answer:
Step-by-step explanation: < 180
