How many different positive integers can be represented as a difference of two distinct members of the set {1, 2, 3, 4, 5, 6}?
1 answer:
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The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
Learn more about reflection
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Answer:
Hand sanitizer=135 bottles
Bar soap=83 bottles
Step-by-step explanation:
Let x represent the hand sanitizer and y the sop.
-Our problem can be expressed as:
#Make x the subject in i then substitute in ii to solve;
Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.