Mr. Singh just left his house to go to work and has a meeting as soon as he arrives. The relationship between the number of minutes Mr. Singh spends in the meeting, x, and the
total time from when he left his house until the meeting ends, y, is shown in the table.
Which equation models the relationship shown in the table?

sine

step-by-step explanation:

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step-by-step explanation:

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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