9514 1404 393
Answer:
(x, y) ⇒ (x -m, y -n)
Step-by-step explanation:
Reverse the arrow and solve for the x and y on the left:
(x +m, y +n) ⇒ (x, y)
This resolves to two relations:
x + m ⇒ x
x ⇒ x - m . . . . . subtract m
and
y + n ⇒ y
y ⇒ y - n . . . . . . subtract n
Putting these back together, we have ...
(x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ
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The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.
Answer: 16/35, decimal form: 0.45
Step-by-step explanation: (3/5-1/7) =3/5-1/7=3/5+-1/7=21/35+-(5)/35= 21 +(-5)/35= <em><u>16/35, decimal form: 0.45</u></em>
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4
The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
Just work with it as seperate triangles and then add them up.
See attached PDF. (The censor thinks there are some unseemly words in there.)
