Find the Vertices and Asymptotes of the Hyperbola $25 y ^ { 2 } - 4 x ^ { 2 } = 100$

question 111

Multiple Choice

Find the vertices and asymptotes of the hyperbola. $25 y ^ { 2 } - 4 x ^ { 2 } = 100$

• A)vertices: (±2,0),asymptote: \[y = \pm \frac { 5 } { 2 } x\]
• B)vertices: (0,±2),asymptote: \(y = \pm \frac { 2 } { 5 } x\)
• C)vertices: (±2,0),asymptote: \[y = \pm \frac { 2 } { 5 } x\]
• D)vertices: (0,±2),asymptote: \(y = \pm \frac { 5 } { 2 } x\)
• E)vertices: (±2,5),asymptote: \(y = \pm \frac { 2 } { 5 } x\)

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Definitions:

General Howe

A British Army officer who was a leading commander during the early years of the American Revolutionary War.

Mohawk

A member of a Native American tribe, part of the Iroquois Confederacy, traditionally based in what is now the northeastern United States.

Iroquois

A historically powerful northeast Native American confederacy known as the Haudenosaunee, consisting of six nations: Mohawk, Onondaga, Oneida, Cayuga, Seneca, and Tuscarora.

Joseph Brant

A Mohawk military and political leader who played a significant role during the American Revolutionary War, aligning with the British against American settlers.