Answer:
(x+9)(3x+27)
Step-by-step explanation:
3x^2+54x+243 (243×3=729, Product=729, Sum=54) [27+27=54, 27×27=729]
3x^2+27x+27x+243
3x(x+9)+27(x+9)
=(x+9)(3x+27)
Solve the following equations. log6(x) = 1
1 answer:
Answer:
x = 6
Step-by-step explanation:
Given:
log₆(x) = 1
Now,
From the properties of log
logₓ (z)= (where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
therefore,
the given equation can be deduced as:
log₆(x) = 1
into,
x = 6¹
or
x = 6
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The center of the circle is (h,k) = (-2,-3)
The radius of the circle is r = 2
The standard form of equation of the circle is
The general form of equation of the circle is
Here, (h,k) means centre of the circle.
r means radius of the circle.
given that coordinate points of centre of circle is (-2,-3).
Hence the (h,k) = (-2,-3)
<h3>How to find the radius of the circle?</h3>Now to find the radius of the circle
The distance from a circle's centre to its circumference is its radius.
The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.
using the formula, distance between the two points to obtain radius.
(h,k) = (-2,-3)
r = 2
subtitue the (h,k) and r values to get the standard form of equation of the circle.
Learn more about circle, refer:
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