Step-by-step explanation:
The largest possible ellipse will have a semi-minor axis of 2 feet and a semi-major axis of 4 feet. If we center the board on the origin of the cartesian coordinate plane, we can derive the location of the foci and thus, the length of string he will need:
x^2 / 16 + y^2 / 4 = 1
Vertices:
(-4 , 0) , (4 , 0)
(0 , -2) , (0 , 2)
Answer:
Step-by-step explanation:
To write an equation for a circle, we need to find the center and the radius. We need to find the distance between the two endpoints to find the radius. To do that, use the distance formula:
d = √(2 - 5)² + (1 + 3)²
√(-3)² + (4)²
√9 + 16 = √25 = 5
If the diameter is 5, the radius is 2.5
Now we need to find the center/midpoint. Use the midpoint formula:
(5 + 2)/2, (-3 + 1)/2
7/2, -2/2
(3.5, -1)
Now that we have the center and the radius, we can make our equation. Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²
(x - 3.5)² + (y + 1)² = 6.25
Hope this helps
You end up getting x^2 when you finish simplifying the quadratic equation, so you simply make a positive parabola with the vertex positioned at the origin.
If simplified the new equation is 9k-45
Answer:
This answer on 10 looks too be 75 inches
Step-by-step explanation:
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