Combine the like terms 7+19t-6t a)7-13t b)20 c)20t d)7+13t 5/6x-2/3x a)1/6x b)1/3x c)1/2x d)x 8+16r-9r a)8+7r b)15r c)15 d)8-7r

The answers would be as follows:

1. d

2. a

3. a

Step-by-step explanation:

To find the combined terms, focus only on the terms that have the same variable value. See the examples below.

1.

7 + 19t - 6t

7 + (19t - 6t)

7 + 13t

2.

5/6x - 2/3x

(5/6x - 2/3x)

1/6x

3.

8 + 16r - 9r

8 + (16r - 9r)

8 + 7r

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)