Solve for x. 6(x – 1) = 9(x + 2) x = –8 x = –3 x = 3 x = 8

x = -8

Step-by-step explanation:

The first choice is the correct one, as is easily verified by putting it in the equation and evaluating:

... 6(-8-1) = 9(-8+2)

... -54 = -54

You can solve the equation to get the same result.

... 6x -6 = 9x +18

... -24 = 3x . . . . . add -18-6x

... -8 = x . . . . . . . divide by the coefficient of x

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

its an acute right triangle

step-by-step explanation: