<span>Since the major axis is 80 yards long, the distance from the center to a vertex on the major axis, which is the "a" in the equation, would be 40 yards. With similar logic we can find that the distance from the center to a vertex on the minor axis, "b" in the equation, would be 36 yards.
</span><span>With the center, a and b we are just about ready to write the equation. The standard forms for equations of ellipses are:
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 for ellipses with horizontal major axes and
</span>x-h)^2 / b^2 + (y-k)^2 / a^2 = 1 for ellipses with vertical major axes
<span>Since the major axis is the x-axis, which is horizontal, we will use the first form. Using the values we found for a and b and the x-coordinate of the center as "h" and the y-coordinate of the center as "k" we get:
(x-0)^2 / (40)^2 + (y-0)^2 / (36)^2 = 1
which simplifies to:
x^2 / 1600 + y^2 / 1296 = 1</span>
Hi there!
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I believe your answer is:
14
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Here’s why:
- I have graphed the given solution in a program. The parabola intercepts at (4,0) and (14,0).
- The x-intercepts of a parabola are the solutions to the equation. The other solution should be 14.
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See graph below.
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Hope this helps you. I apologize if it’s incorrect.
Answer:
Step-by-step explanation:
4a + c = 55
3a + 2c = 50
Use -2 for top equation
-8a - 2c = -110
3a + 2c = 50
-5a = -60
a = $12 each adult
4(12) + c = 55
48 + c = 55
c = $7 each child
⇒ If AB = BC = CD then ML = LK = KJ
Now, JM = LM + KL + KJ
⇒ JM = LM + LM + LM
⇒ JM = 3 × LM
⇒ JM = 3 × 8
⇒ JM = 24 units
Answer:
64 pi
Step-by-step explanation:
lmk if you need an explanation