Choose all of the expressions that are equal to 61.

|−61|

the opposite of −61

the opposite of 61

the distance from zero to −61

−|61|

−|−61|

−(−61)

l-61l

the opposite of -61

the distance from 0 to -61

-(-61)

Step-by-step explanation:

|−61|--> The absolute value is always positive . so

the opposite of −61  --> Opposite of negative number is a positive number. so its 61

the opposite of 61  --> Opposite of 61 is -61

the distance from zero to −61 --> the distance from 0 to -61 is 61

−|61|  ---> negative is outside so its -61

−|−61|  ---> negative is outside the absolute value so its -61

−(−61) --> negative and negative becomes positive so its 61

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: