Answer:
I don't see any equations. If you can post them I can answer below
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
The line representing Murphy street goes through point (0, 3) and has a slope of 2/1 = 2. Its equation is then ...
y = mx + b
y = 2x +3
The translation vector transforms this equation* by adding -1 to y, and replacing x with x-1.
y = (2(x-1)) +3) -1
y = 2x -2 +3 -1 . . . . eliminate parentheses
y = 2x . . . . . . . . . . . the equation for Nolan street
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Of course, adding (1, -1) to the point (0, 3) moves it to ...
(1, -1) +(0, 3) = (0+1, -1+3) = (1, 2)
The image of (0, 3) is (1, 2).
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* f(x) is translated by (a, b) this way: g(x) = f(x-a) +b. Here, f(x) = 2x+3 is translated to f(x-1)+(-1) = (2(x-1) +3) -1.
Answer:
See below in bold.
Step-by-step explanation:
To do these we add or subtract 360 degrees or 2 pi radians. Sometimes multiple actions are required.
11. Adding 360 to -545:
= -185
185 + 360 = 175
The other angle is 185 degrees so they are not coterminal.
12. 161pi/36 - 2pi
= 161pi /36 - 72pi/36
= 89pi/36
89pi/36 - 72pi/36
= 17pi/36.
So these are coterminal.
13. -330 + 360 = 30 degrees.
14. -435 + 360
= -75
-75 + 360
= 285 degrees
15. 640 - 360 = 280 degrees.
16. -442 + 360 = -82
-82 + 360 = 278 degrees.