It’s f(0)=3 because f(0) just means y intercept which is 3
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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Answer:
Step-by-step explanation:
Since we want to know the actual number of feet, we can write the proportion with that in the numerator.
The real caboose is 42 1/4 feet long.
The square root of 64 is 8, or -8
This is because 8 times 8 is 64
And -8 times -8 is 64 (because a negative times a negative is a positive)
Let us have a recap first.
For triangle it's 180 degrees in total
Square has 360 degrees in total
Pentagon has 540 degrees total
Hexagon has 720 degrees in total
So these polygons increase by 180 degrees for every side to the polygon starting at three sides instead of one.
Let:
n = number of sides in the polygon
(n-2) * 180 = degrees total inside the polygon
(n-2) * 180 / n = degrees for each angle in polygon
Substitute:
(n-2) * 180 / n = 162
multiply both sides by n
(n-2) * 180 = 162n
then divide both sides by 180
n-2 = 162n / 180
n-2 = 0.9n
subtract 0.9n and add 2 to both sides to get n alone
0.1n = 2
n = 20 sides
Thus,
Icosagon (20-gon) is the term for a 20 sided polygon
