Answer: {5 ± 2√10, 5 - 2√10}
Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.
Next, square root both sides to get x - 5 = ± √40.
Notice that root of 40 can be broken down to 2√10.
So we have x - 5 = ± 2√10.
To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.
So our answer is just {5 ± 2√10, 5 - 2√10}.
As a matter of form, the number will always come before the
radical term in your answer to these types of problems.
In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.
Hi there! The answer is 100πcm^2
The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.
The exact area of a circle can be found using the following formula:

In order to find our answer, we need to plug in the data from the question.

Hence, the answer is 100πcm^2.
The exact circumference of the circle is 
The approximate circumference of the circle is 
Explanation:
The diameter of the circle is 
Now, we shall find the circumference of the circle.
The formula to determine the circumference of the circle is given by

Where C is the circumference ,
is 3.14 and
is the diameter of the circle.
The exact circumference of the circle is given by

Multiply both numerator and denominator by 100, we get,

Converting
into mixed fraction, we get,

Thus, the exact circumference of the circle is 
The approximate value of the circumference can be determined by dividing the value 


Thus, the approximate circumference of the circle is 
Answer:
y=4
Step-by-step explanation:
Since the slope is constant, and the only y value for each x value is 4, then the equation is y=4.