Rotation counterclockwise 90 degrees has the rule
(x,y) -> (-y,x)
So the image is obtained, according to the rule,
(2,3) -> (-3,2)
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:

The width of the rectangle is the greatest common factor of
,
and 
That is the width is: 
We now divide the area by the width to obtain the length of the rectangle:

This simplifies to:


The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.
For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.
(adjacent side) / (hypotenuse) = cosine of the angle.
Cosine(a) = 4/7 = 0.57143... (rounded)
Angle 'a' = <em>55.15 degrees</em> (rounded)
Answer:
1. d - b
2. -d (-b)
3. -d + b
Step-by-step explanation:
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