ANSWER

EXPLANATION
According to the power property of logarithms:

The given logarithm is

When we apply the power property to this logarithm, we get,

Answer:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.
Step-by-step explanation:
If one kilogram is equal to 35.274 then just multiply 1.5 by 35.274.
1.5 * 35.274 = <span>52.911</span>
THEOREM:
- <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
- x² = 12² + 9²
- x² = 144 + 81
- x² = 225
- x = √225
- x = 15 units.
So, <u>Correct choice</u> - [C] 15 units.
Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:

After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:


4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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