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3 years ago

Consider the function f (x)= (x- 5)^2+2 and g (x)= (x+6)^2-4

1 answer:

5 0

G(x) = f(x-7) = (x-7)^2 - 5 f(x) is a parabola with vertex at (0,-5) and axis of symmetry x = 0g(x) is a parabola with vertex at (7,-5) and axis of symmetry x = 7 g(x) is shifted seven units to the right of f(x). g(x) is not shifted above or below f(x).

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3 years ago

Help find perimeter and area

klio [65]

Answer: perimeter = 96mm, Area = 564mm².

Step-by-step explanation:

From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x

Therefore,

25² = ×² + 7²

625 = x² + 49

x² = 625 - 49

x² = 576

x. = √576

= 24.

Now the perimeter

= 20 + 25 + 7 + 20 + 24

= 96mm.

Area of the figure will be

= 1/2( a + b )h

Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values

( 20 + 27) x 24

---------------------

= 47 x 24/2

= 47 x 12

= 564mm²

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3 years ago