You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4.75 kilometers long. He ask you to move the finish line forward 0.25 kilometers. Your tape measure is measured in feet and inches. What is the distance he asked you to move in line in the nearest foot?

820 feet

Step-by-step explanation:

We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...

1 km  ==  3280.84 ft

0.25 == x

(0.25 * 3280.84) / 1 = 820.21

Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.

i can you with this sweetie!

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: