Its 6f hope this helps :P
Answer:
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0.750,and 0.955 because both have 5s in the hundredths place
Answer:
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Answer:
![\frac{x2}{a} - \frac{y2}{b2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx2%7D%7Ba%7D%20-%20%5Cfrac%7By2%7D%7Bb2%7D%20%3D%201)
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:
![\frac{X2}{16} - \frac{b}{4} = 1](https://tex.z-dn.net/?f=%5Cfrac%7BX2%7D%7B16%7D%20-%20%5Cfrac%7Bb%7D%7B4%7D%20%3D%201)
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:
![\frac{x2}{16} - \frac{b2}{4} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx2%7D%7B16%7D%20-%20%5Cfrac%7Bb2%7D%7B4%7D%20%3D%201)