A circle mirror has a diameter of 12 inches. What is the area,in square inches, of the mirror?

1 answer:

5 0

Area of circle= pi times radius^2

diameter=2 times radius
radius=diameter/2
diameter=12
radius=12/2
radius=6

pi times r&+^2
pi times 6^2
pi times 36
aprox pi=3.14
113.04 in^2

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Given the parent function f(x) = 2^x, which graph shows f(x) + 1?

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Answer: First Option

a) exponential function going through point (0, 2) and ending up on the right

Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

$f(x) = 2^x$

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation $y = f(x) +1$ then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)