Make a table of ordered pairs for the equation.
2 answers:
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Answer:
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
Answer:
Step-by-step explanation:
Solve the system of inequalities:
x + 4 < 0
OR:
6x > -12
The first inequality yields the solution:
x < -4
The second inequality gives the solution:
x > -2
The total solution is the disjunction of the individual solutions, i.e., the union of both.
It can be expressed as