PaysleeZ603069 PaysleeZ603069
  • 25-10-2022
  • Mathematics
contestada

A hyperbola has vertices (±5, 0) and one focus (6, 0). What is the standard-form equation of the hyperbola?show steps

Respuesta :

HollidayN305357 HollidayN305357
  • 25-10-2022

The standard form of a hyperbola with center (h,k) is

We know the vertices are at (5,0) and (-5,0)

The vertices are at (h+a,k) and ( h-a,k)

The center must be at (0,0) and the a value is 5

The coordinates of the foci are at ( h+c,k) and ( h-c, k) and we know one of the foci is at (6,0)

c is equal to 6

We know that c^2 = a^2+b^2

6^2 = 5^2 + b^2

36 = 25+b^2

11 = b^2

We can write the equation

Ver imagen HollidayN305357
Ver imagen HollidayN305357
Answer Link

Otras preguntas

Evaluate the expression when k = 3 and j = 10. (5k−j)^2+2k 80 45 31 20 Plz halp meh :/
Evaluate 2y²(x+y) when x = 1 and y = 5
Record a piece of evidence from the passage that supports the idea that stress is not always harmful.
PLEASE HELP 100 POINTS GIVING BRAINLIEST REPORTING FALSE ANSWERS!
If an object is projected horizontally from a height of 5 m with an initial velocity of 7 m/s. What is the value of X^0? A. X^0 = -9.8m/s squared B. X^0 = 7 C.
been stuck on this for the last 2minetus
Lab: Disease Spread Assignment: Lab Report please complete 100 POINTS AND BRAINLIEST
What country had actual maps? A. Portugal B. Columbia C. Spain D. France
at age 11 Malala began to write under a _____ for a BBC blog
Tetras cost $3.99 each. You can spend at most $25. How many possible tetras, x, can you buy for your aquarium?