Tivo cars leave the same parking lot, with one heading north and the other heading east. After
several minutes, the eastbound car has traveled 4 miles. If the two cars are now a straight-line
distance of 5 miles apart, how far has the northbound car traveled?

The northbound car has traveled a distance of 3 miles.

Step-by-step explanation:

Step 1:

The eastbound car has traveled a distance of 4 miles and if a straight line is drawn between the two car's positions it would measure 5 miles.

This forms a triangle which has a hypotenuse measuring 5 miles while one of the other sides measures 4 miles.

Assume the distance traveled by the northbound car is x miles.

Step 2:

According to Pythagoras' theorem,

So the northbound car has traveled a distance of 3 miles.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b