An Olympic-size swimming pool is approximately 50 meters long by 25 meters wide. What distance will a swimmer travel if they swim from one corner to the opposite?

Therefore a swimmer will travel   m , if he swim from one corner to the the opposite .

Step-by-step explanation:

Rectangle:

Given that the dimension of the swimming pool is 50 m ×25 m

The length of the pool ≠The breadth of the pool

Therefore the shape of pool is rectangle.

To swim one corner to the opposite corner of the pool , it is actually the length of diagonal of the pool.

Therefore the diagonal of the pool =

                                                          m

                                                          m

                                                          m

Therefore a swimmer will travel   m , if he swim from one corner to the the opposite.  

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1