The length of the rectangular football field including both end zones is 120 yards. the area of the field is 57,600 ft.². the width of the field is 160 feet: true or false?

True, the width of the field is 160 feet

Step-by-step explanation:

To find the width of the rectangular poll

Length of the poll is given as 120 yards

Since the area is given in ft², we need to convert the length from yard to feet

To calculate this;

1 yard       = 3 feet

120 yards  =  x

cross multiply

x =  120 ×  3 = 360 feet

Therefore; the length of the field = 120 yards =  360 feet

We can now go ahead and find the width

From the information given in the question;

Area of the rectangular foot ball field is 57, 600 ft²   and the length of the rectangular football field is 360 feet

Let w = width of the rectangular football field

Area =  Length ×  Width

 57,600 =  360  ×  w

To get the value of w, we divide both-side of the equation by 360

    =    

160  = w

w =  160 feet

Therefore; the width of the rectangular football field is 160 feet

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

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