Which ordered pair is a solution of y=x+12?

9,21

Step-by-step explanation:

Check each pair separately

(-12, 24) - if x=-12, then y = 24

let us check with substituting the value of x in the equation and finding y

y = -12 + 12 = 0

if x = -12, y = 0, which does not correspond to your pair

Check the next ones the same way

(12,24)

x = 12

y = 12 + 12 = 24

(12,24) - a solution

(0,-12)

x = 0

y = 0 + 12 = 12, not -12

(-12,0)

x = -12

y = -12 + 12 = 0

true

(-12,0) - a solution

So, we have to pairs that are the solutions for the given equation

(12,24) and (-12,0)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.