Which statement about the sum of two additive inverses is true? select all that apply.

a.
the sum is 1.

b.
the sum is zero.

c.
the sum must be a positive number.

d.
the sum must be a negative number.

e.
the addends are the same number with opposite signs.

f.
the addends are the same number with the same signs.

For this case we have that by definition, the additive inverse of a number is one that when the sign is changed and added to the original number, results in zero. That is, the additive inverse of a number "x" is its opposite "-x.

Example:

The additive inverse of 4 is -4. We have to

Thus, the correct options are:

Option B, E

Option B, E

B.   The sum is zero.

E. The addends are the same number with opposite signs.

Step-by-step explanation:

The additive inverse is a number that if added to a given number results zero.

i.e. if a+b=0 then  a is additive inverse of b or b is additive inverse of a.

i.e. a=-b or b=-a

i.e. The addends are the same number with opposite signs.  (*)

By the definition of additive inverse , statement A . is wrong.

Statement B. is true.

Statement C. and D. are wrong because zero is neither positive or negative.

Statement E . is true.   [From (*)]

Statement F is false . [From (*)]

So the correct statements are :

B.   The sum is zero.

E. The addends are the same number with opposite signs.

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)