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Furkat [3]
3 years ago
6

Write an equation in standard form of an ellipse that is 28 units high and 20 units wide

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0
The standard form of ellipse with vertical major axis and center at the origin is:
x^2/b^2+y^2/a^2=1, a>b
2a=length of the major axis=28
a=14
a^2=196

2b=length of minor axis=20
b=10
b^2=100

x^2/196+y^2/100=1

making y the subject we get

y=5/7(196-x²)^0.5
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Step-by-step explanation:

Area of a rhombus = \frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }

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