Identify the type of conic section that has the equation 9x2 + 16y2 = 144 and identify its domain and range.

ellipse

Domain: {-3 ≤ x ≤ 3}

Range: {-4 ≤ y ≤ 4}

ellipse

Domain: {-4 ≤ x ≤ 4}

Range: {-3 ≤ y ≤ 3}

hyperbola

Domain: all real numbers

Range: {y ≤ - 4 or y ≥ 4}

hyperbola

Domain: {x ≤ - 4 or x ≥ 4}

Range: all real numbers

Question

Mathematics

Timothy Morales

3 December, 14:41

Identify the type of conic section that has the equation 9x2 + 16y2 = 144 and identify its domain and range.

ellipse

Domain: {-3 ≤ x ≤ 3}

Range: {-4 ≤ y ≤ 4}

ellipse

Domain: {-4 ≤ x ≤ 4}

Range: {-3 ≤ y ≤ 3}

hyperbola

Domain: all real numbers

Range: {y ≤ - 4 or y ≥ 4}

hyperbola

Domain: {x ≤ - 4 or x ≥ 4}

Range: all real numbers

+4

Answers (1)

Know the Answer?

Lucian · Answer 1

9 x² + 16 y² = 144 / : 144 (divide both sides by 144)

x²/16 + y² / 9 = 1 (ellipse)

a² = 16, a = 4

b² = 9, b = 3

Answer:

B) ellipse;

Domain : { - 4 ≤ x ≤4 }

Range: { - 3 ≤ y ≤ 3 }