You reflect a function with respect to the axis by changing its sign.
In fact, if you consider the two alternatives
and
you can see that you're choosing opposite outputs for the same inputs.
In other words, one graph will be made of points like , the other of points like
And the transformation
is exactly a reflection with respect to the axis.
Answer:
67
Step-by-step explanation:
Assuming you require to simplify the expression.
Using the rule of radicals
×
⇔
Simplifying the radicals
=
=
×
= 6
=
=
×
= 11
Then
2 + 5
= 2(6 ) + 5(11
)
= 12 + 55
= 67
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
