Does a line that bisects an angle of a triangle also bisects the side that is opposite the angle?

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

8 0

Yes it does bisect an angle

Mekhanik [1.2K]3 years ago

7 0

Yes, the bisecting line will also bisect the side

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If f(x) = 245 Find f^-1(x) (the inverse)

geniusboy [140]

9514 1404 393

Answer:

does not exist

Step-by-step explanation:

The notation f^-1(x) usually refers to the inverse function. That is, if we have the functional relation

y = f(x)

Then the inverse function f^-1(x) will give you ...

x = f^-1(y)

In order for an inverse function to exist, the original function must pass the "horizontal line test." That is, any horizontal line can intersect the function's graph in, at most, one point.

Here, the function f(x) = 245 is a horizontal line, so the horizontal line test fails. The horizontal line at y=245 will intersect f(x) in an infinite number of points.

So, f(x) = 245 does not have an inverse function. f^-1(x) does not exist.

_____

Alternate interpretation of the question

Sometimes, an exponent is applied to a function name when the intended operation is application of the exponent to the function value. For example, you may see sin²(x) when the intended meaning is sin(x)². The application of an exponent to the function name could be confused with multiple applications of the function: sin²(x) = sin(sin(x)), as the notation is sometimes used for this purpose, too.

If what you intend by f^-1(x) is really f(x)^-1, then you can say ...

f(x)^-1 = 1/245

3 0

3 years ago

If the perimeter of the rectangle is 36 inches, what is the value of x? X-3 7x+5

AlekseyPX

Answer:

x = 2

Step-by-step explanation:

To find the value of x, we simply need to use the know values for the lengths, widths, and perimeter of the rectangle.

The formula for the perimeter of a rectangle is as follows:

P = 2L + 2W