- Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 6 miles, and the eastbound car has traveled 8 miles. Measured in a straight line, how far apart are the two cars? 1 I​

Step-by-step explanation

Use Pythagoras theorem. The distance between the cars, 8km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km

x = sqrt(8^2 - 6^2) km.

You can crunch the numbers.

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)

he earned 78.75 in interest.

step-by-step explanation: