X² - 15 x + 36 = 0
x² - 12x - 3x + 36 = 0
x( x - 12) - 3( x - 12) = 0
(x - 3)( x - 12) = 0
x - 3 = 0
x = 3
or
x - 12 = 0
x = 12
The solutions are 3 and 12
An exponential expression is one in which a number has been raised to a certain power.
<h3>What is an exponential expression?</h3>
An exponential expression is one in which a number has been raised to a certain power.
Now;
1) 3^2 . (3^3)^2 . 3^-8 = 3^2 + 6 - 8= 3^0 = 1
2) (3^2) (2.3)^-3/2^-2 = 3^2 . 2^-3 . 3^-3/2^-3 = 1/3
3) (2^-1) . (3 . 2)^4/(3 . 2)^3 = 2^-1. 3^4 . 2^4/ 3^3. 2^3 = 3
4) 2^5 . 3^5 . 6^-5 = 32 * 243/7776 = 1
5) (2^3) . (2 . 3)^-1/2^2 = 2^3 . 2^-1 . 3^-1/2^2 = 1/3
Learn more about exponential function:brainly.com/question/14355665
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Answer:
Whole Number : 6
Integers: -6 and 6
Rational Number: -6.0 and -6/1
Irrational Number: -Infinity or -0
The given circumference is C = 12*pi
The formula for the circumference of any circle, with radius r, is
C = 2*pi*r
Plug in the given value of C and solve for r
C = 2*pi*r
12*pi = 2*pi*r ... C has been replaced with 12*pi
12 = 2*r ... divide both sides by pi (they cancel out)
6 = r ... divide both sides by 2
So r = 6 is the radius
Using proportions, the value of x that makes the triangle similar is of x = 14.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:
Applying cross multiplication:
6x = 12 x 7
x = 2 x 7
x = 14.
The value of x that makes the triangle similar is of x = 14.
More can be learned about proportions at brainly.com/question/24372153
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