An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In the given exponential equation
, It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,

Since the base on both the sides are the same, comparing the exponential values on both sides,
x - 2 = 8
x = 8 + 2
x = 10
Hence, the value of x in the given exponential equation is 10.
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The area of circle is 113.04 in^2
Further explanation:
The area of circle is calculated by using pi and radius.
We are given
Diameter = d = 12 inches
pi = π = 3.14


The area of circle is 113.04 in^2
Keywords: Circle, Area of Circle
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The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***
f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
Answer:
M=47.99988
Step-by-step explanation:
M=1.33333(16+20)
=1.33333(36)
=47.99988