Radical 63 can be broken down as radical 9 and 7. Radical 9 can be also 3 and you carry the radical 7. So radical 63 is basically 3 radical 7.
Answer:
5
Step-by-step explanation:
1. according to the condition

2. when the both prices are increased the ratio is

3. when the both prices are reduced the ratio is

4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:

where x=160; y=52.
5. ration x:y=5.
Answer:
63.59 in²
Step-by-step explanation:
The formula to find the area of a square: a², where a is the side.
The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).
1) Find the diameter of the circle. The side of a square is the diameter.
a²
a = √81
a = 9
2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).
= 3.14 x 4.5²
= 3.14 x 20.25
= 63.585
3) Round off the result to the nearest hundredth.
= 63.59
<h2>Steps:</h2>
So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now you can rewrite it as:

Next, multiply:

Next, divide:

And lastly, simplify:
- A good tip:


<h2>Answer:</h2>
<u>The correct option is C. x² + 4x + 4.</u>
Answer:

Step-by-step explanation:
The given equation is in exponential form:

To find
we need to write it in logarithmic form:
⇒ 
⇒ 



To prove this, we can substitute the value into the given equation



Therefore, the answer is 