The base of an exponential function can only be a positive number true or false?
2 answers:
Answer:
The given statement:
The base of an exponential function can only be a positive number is a TRUE statement.
Step-by-step explanation:
In mathematics, an exponential function is a function of the form
where b is a positive real number, and in which the argument x occurs as an exponent and a is a constant which can be both positive as well as negative.
The term 'b' is called base of the exponential function.
Hence, the base of an exponential function can only be a positive number.
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Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
or, [ by cross multiplication]
or,
or,
Hence,
The value of x is 144.