A cheetah's top speed is about 96 km/h. A zebra's top speed is about 64 km/h.
If the animals both maintain their top speed for the entire race,
How much of a head start
would a zebra need to tie
a cheetah in a 5 km race?

The zebra needs 1.66 Km of a head start to tie the cheetah in the race.

Step-by-step explanation:

The top speed of the cheetah is 96 Km/h.

If the cheetah ran for 5 Km, it would need

5 / 96 hours

The top speed of a zebra is 64 Km/h.

Running the same time, the zebra would travel a distance of:

5 / 96 * 64 = 3.33 Km

It would need an additional distance to tie the cheetah of 5 - 3.33 = 1.66 Km

The zebra needs 1.66 Km of a head start to tie the cheetah in the race.

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)

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest