We know that:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
:
And the equation of the circle is:
for question 1
Area of Base B =45×25 = 1125 cm²
perimeter of base P = 2(45+25) = 140 cm
Height = 15 cm
Using the formula
Surface area = 2B + Ph
A = 2×1125 + 140×15= 4350 cm²
Voume = Bh = 1125×15= 16875 cm³
For question 2,
Area of base = 7× 5/2= 17.5 cm²
Perimeter of base = (7+7+7) = 21 cm
Surface area = 2B + Ph
Surface area of prism = 2×17.5+ 21×10 = 245cm²
Volume = Bh = 17.5×10 = 175 cm³
7.5 ft because
6/30 = .0005 so then x we factor in equals 7.5 for
Answer: Third option.
Step-by-step explanation:
By definition, Rational Functions have the following form:
Where 
and 
are polynomials.
The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
In this case, you have the following Rational Function:
The Restrictions of the Domain can be found applying this steps:
- Make the denominator equal to 0:
- Solve for "x":
Then, the Domain of this function includes all "x" not equal to 2.
Therefore, the answer is:
A cross section is a shape formed by cutting an object using a plane. For this case, a cone is sliced parallel to the slant height so the cross section formed would be a plane with a U-like shape. From the image attached, the correct answer is the second option.
