What is the answer to this?

z^11 is the ans if we follow laws of indices...

z^11

Step-by-step explanation:

using the formula,

(a^x)(a^y)=a^(x+y). {it's used for same base, power adds up in multiplication}

so, z^5.z^6=z^(5+6)

=z^11

answer for #1 is c

answer for #2 is d

can i get brainliest

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)