What is the equation of the hyperbola with center (0,0) and with a=4 and b=10 that opens vertically?

The answer is the third option.

y^2/16 - x^2/100 = 1

Step-by-step explanation:

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)