Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:

Where

is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.

Great! We now know the radius of the circle. It is

because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator
Answer:
4
Step-by-step explanation:
substitute: (4)^2 - (8 + 3)
16 - 11 = 4
3x^2 -6x + 6 :) hope this is alright
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
The area of the triangle PQR is 108 square units
<h3>How to determine the area of the triangle?</h3>
The given parameters are:
- Height, h = 12 units
- Base, b = 18 units
The area is then calculated using:
Area = 0.5 * base * height
So, we have:
Area = 0.5 * 18 * 12
Evaluate
Area = 108
Hence, the area of the triangle PQR is 108 square units
Read more about areas at:
brainly.com/question/24487155
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