The area of a square game board is 144 sq. In. What's the length of the sides of the board?

1 answer:

8 0

So we want to know what is the lenght of the sides of the board that has an area of A=144 in^2. Well, we know that the area of a square is A=a^2 where a is the side of a square. So the length of the side is square root of the area: sqrt(144)= 12. So the length of the game board is 12 inches.

You might be interested in

Why is (3,4),(5,10),(3,12) not a function

jasenka [17]

A function has a property such as "one input must be mapped to exactly one output." An input is the x-value, and the output is, generally, the y-value. In this set of points above, the input 3 maps to 4 <em>and </em>12, and therefore is not a function.

5 0

3 years ago

1. If the domain of a function f(x) is the set {10, 20, 30}. What does the information tell you about f-1(x)?

ziro4ka [17]

PART A (1 in diagram)

Each mapping diagram represents a function because none of the elements in the inputs maps on to two different elements in the outputs.

1. The domain of the given function f(x) is the set {10, 20, 30}.

All we can say about

${f}^{ - 1} (x)$

is that, it has a range of {10, 20, 30}.

This is because the domain of a function becomes the range of its inverse function.

2. If the graph of a function f(x) includes the point (3, 0), then the graph of the inverse function ,

${f}^{ - 1} (x)$

will contain the point (0,3).

Reason:The point on the graph of the inverse function is obtained by reflecting the corresponding point on the graph of the function in the line y=x. We just have to swap the coordinates.

In simple terms the domain of the function becomes the range of the inverse function and vice versa.

3. If the first term in an arithmetic sequence is 2.

Then we have a=2.

If the twelfth term is 211, then

$a + 11d = 211...(1)$