Write the statement in symbolic form r: the race is difficult. true p: karen practices. false w: karen wins the race. true 15) if karen practices, then karen will win the race. 16) if karen wins the race, then karen has practiced. 17) if karen wins the race, the race is difficult. 18) karen wins the race if the race is not difficult.

40 x 50 = 2000

step-by-step explanation:

you save $70

discount would be 35% off

step-by-step explanation:

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