What is the solution to the inequality
d/7+4≤0?

d ≤ -28

Step-by-step explanation:

d/7 + 4 ≤0

d/7 + 4 - 4 ≤ 0 - 4

7*d/7 ≤ 7*( - 4)

d ≤ -28

d. you cannot tell because there are no values shown.

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