Which equation is represented by the graph below? 5
4 +
3+
2+
+
1 2 3
4 5 x
5 4 3 -2 -11
-27
4
-5
O y = In x
O y = In x+1
O y=e*

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734

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