On a typical work day the trapeze artist spends 1/2 of his time plotting his jumps and 1/4 of his time hoping he wont fall. If the trapeze artist spends a total of 6 hours on these two activities, how many hours does he typically work each day?

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

yes i do see that. i say this because i am doing my very best in high school so i can get a scholarship and credits.  

answer: chelsea has 55 brushes

step-by-step explanation:

5 x 11 = 55

5 + 55 = 60

vince wrote the sequence below.

1/3, 1, 5/3, 7/

which of the following explains whether the sequence is geometric?

the sequence is geometric because 2/3 was added to each term to get the next term.

the sequence is geometric because 3 was multiplied to each term to get the next term.

the sequence is not geometric because 2/3 was added to each term to get the next term.

the sequence is not geometric because 3 was multiplied to each term to get the next term.

step-by-step explanation: