Middleton, Colorado, hosted a youth soccer tournament. Youth soccer fields vary in size per the age of the players. The field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide. The field for the 11‐14‐year‐old players was proportionally larger. If the length of the field for the 11‐14‐year‐old players was 100 yards, what was the width?

correct answer is b. 27/8

step-by-step explanation:

time is equal to distance over rate so

t = d/r

need a little bit more information for the second question.

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

the answer is x=45 because i said so