A ballroom has a square dance floor. The area of the floor is 400 square feet. Of the length of each side of the square increased by one foot, would its area be a rational number? Explain.

It is given in the question that

A ballroom has a square dance floor. The area of the floor is 400 square feet.

And the formula of the area of the square sides square.

So we will get

Taking square root on both sides,

And on increasing the side length by one foot, we will get the side length of 21 feet.

And it is not a perfect square.

And the area is

And 441 is a perfect square and a rational number.

Therefore true statements are A and E.

Step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic