<span> 47 colonists every square mile.</span>
The answer is D:
Place the compass on point B and complete the same steps that she did for point A
The process is that you draw arcs above and below the line from both ends, but it's crucial that the compass' radius is the same from both ends of the line. Then you draw the line that connects the two intersection points to form your perpendicular bisector.
Answer:
(i) A"(-7, 6)
(ii) A"(3, 4)
Step-by-step explanation:
(i) The notation is a bit different. We assume it to mean that the transformation X is a translation 4 left and 2 up. That is, (-4, 2) gets added to the (x, y) coordinates:
(x, y) ⇒ (x -4, y +2)
For the coordinates A(1, 2), a transformation by X gives ...
A'(1 -4, 2+2) = A'(-3, 4)
We believe the notation X² is supposed to signify a second transformation by X. Then a second transformation by X of A' gives ...
A"(-3 -4, 4 +2) = A"(-7, 6) . . . A transformed by X²
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(ii) Reflection in the line x=0 negates the x-coordinate, so the transformation Y is ...
(x, y) ⇒ (-x, y)
Applying this transformation to the result of translating A by transformation X, we get ...
A" = (-(-3), 4) = A"(3, 4) . . . A transformed by XY
<span>The car's fuel efficiency rating would be 32 miles per gallon for city driving and 41 miles per gallon for highway driving. </span>
Answer:
Step-by-step explanation:
We must find the inverse of the following function:
to solve this, you change f(x) by y
y=
exchange the variables:
You clear the variable "y"
9(x+2) = y
y = 9(x+2)
y = 9x +18
finally you change "y" to f ^-1 (x) =
f^-1 (x) = 9x+18