So, 1/3 of something is 21.
1/3 of x is not the full x: we know that the x is 21 and even more. So, it must be bigger than 21, since it has 21 and something else (and since 21 is not negative): the solution MUST be greater than 21.
Answer:
x = 2
Step-by-step explanation:
Given the equation as;
log 3 + log x - log(x + 1) = log 2
collect like terms
log x - log(x + 1) = log 2-1og 3
Re-write the equation by applying laws of logarithms in that when you subtract logs you divide the numbers/terms. This will give
log [ x / x+1 ] = log [2/3]
Cancel log on both sides to remain with;
x/ x+1 = 2/3
Apply cross-product
3{x} = 2{x+1}
3x = 2x + 2
3x-2x = 2
x = 2
Answer:
The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.
Answer:
80 degrees
Step-by-step explanation:
Co-interior angles
Answer:
The length of FG is
.
Step-by-step explanation:
Since the altitude of the triangle bisects the third side, triangle FGH is isosceles.
Therefore 
This implies that,

This is a linear equation where we easily solve for
.
We group like terms to get,


We divide both sides by 2 to obtain,
.
The length of FG is
