Answer: 6 years old.
Step-by-step explanation:
For this exercise let "x" represents your present age.
According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.
Then, your age in three years can be represented with the following expression:
Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:
Therefore, the final step is to solve for "x" in order to find its value.
You get that this is:
Simplify your regular answer then you'll get it.
ANSWER
Yes,
is the restriction.
EXPLANATION
The given function is
This is a logarithmic function that is defined for
The reason is that, the logarithmic functions are not defined for negative values of x and 0.
Therefore the argument must always be positive.
When we solve the above inequality, we get,
Therefore the the restrictions is that,
This is also the same as the domain of the function.
Answer:
-8
Step-by-step explanation:
All you have to do to solve this equation is plug "-3" into the equation where you see "x"
It will really be helpful in your solution if you draw the rectangle, its diagonal and the altitude of ΔMOP.
By doing so, you will find that ∠MOP is equal to twice m∠AOP and that is equal to 30°. Then, m∠MOP is a vertical angle of m∠NOK which means that they are equal. Therefore, m∠NOK is also 30°.
We know that the sum of the angles of a triangle is equal to 180°.
m∠NOK + m∠OKN + m∠ONK = 180°
And that m∠OKN = m∠ONK
so,
m∠NOK + 2m∠ONK = 180°
Substituting,
30° + 2m∠ONK = 180°
Hence,
m∠ONK = 75°