Hello!
So, your questions are basically having to do with rotations. This means to rotate certain points in a grid.
The following are formulas for solving rotations-
90 Degrees Clockwise About The Origin = (X,Y) -> (Y,-X)
180 Degrees About The Origin = (X,Y) -> (-X,-Y)
270 Degrees Clockwise About The Origin = (X,Y) -> (-Y,X)
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90 Degrees Counterclockwise = 270 Clockwise
270 Degrees Counterclockwise = 90 Clockwise
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*Note, in the formulas, the negative sign only stands for the opposite. So if your original point is a negative, it will become positive,
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Now that we have our formulas, let's put them into affect with your points.
13) 90 Degrees CC = 270 Degrees Clockwise. Formula- (X,Y) -> (-Y,X)
A (2,-2) -> A' (2,2)
B (4,-1) -> B' (1,4)
C (4,-3) -> C' (3,4)
D (2,-4) -> D' (4,2)
*Note, the symbol _'_ Stands for prime. All this means, is the new point.
15) Now, I apologize, but I'm a bit confused on this one :( When it says about point L, I can't tell if it just wants that one point, or the whole figure translated. Again, I am so sorry :(
17) This one I do know. 270 degrees CC = 90 degrees Clockwise. Formula- (X,Y) = (Y,-X).
W (-6,-2) -> W' (-2,6)
X (-2,-2) -> X' (-2,2)
Y (-2,-6) -> Y' (-6,2)
Z (-5,-6) -> Z' (-6,5)
Hope this helped! Again, sorry about number 15. Have a great day!
Regards,
~KayEmQue
Answer:
100 ml of 5% solution
200 ml of 20% solution
Step-by-step explanation:
x = amount of 5% solution
y = amount of 20% solution
System of equations:
x + y = 300
.05x + .20y = 300(.15)
Solve by substitution: let y = 300 - x
.05x + .2(300-x) = 300(.15)
.05x + 60 - .20x = 45
-.15x = -15
x = 100, therefore y = 200
