The blackburn family has a square field where they keep their cattle. the area of the field is 40,000ft squared, and mr blackburn wants to put a fence diagonally through the field. what should the length of the fence be?

Length of the fence will be = 282.84 feet

Step-by-step explanation:

The Blackburn family has a square field to keep their cattle. Area of the field is $40000 square feet.

Then one side of the square field will be = √Area = √40000 = 200 feet

Since diagonal of a square is = √2(side)² = side√2 = 200√2 = 200×1.41 = 282.84 feet.

Therefore length of the fence will be = 282.84 ft.

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

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step-by-step explanation: