Two cars leave an intersection at the same time. car a travels north at 35 miles per hour, and car b travels east at 65 miles per hour. find the distance (in miles) between the two cars at time t, where t represents the number of minutes elapsed since the cars left the intersection.

The distance between both cars at any time t in minutes, is given by the expression:

Which can be approximately

Step-by-step explanation:

Distance is given by the expression:

1.

Where D is distance, v is speed or velocity, and t is time.

We will find first, the distance of each car to the intersection, by replacing the known values on the equation 1:

Distance of the car A to the intersection, at any time t in minutes:

2.

Distance of the car B to the intersection, at any time t in minutes:

3.

The expression will work to convert time from minutes to hours, so it can be properly computed.

You will find a diagram attached to the response, to understand where are this expressions coming from. Now, as one car went north and the other one went east, the distance between both cars is given by a pythagorical expression.

4.

Replacing 2 and 3 in 4 and omiting the units, for ease of computing:

5.

Computing 5:

≅ 1,23*t

you answer is a

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.