1. The length of the base of an isosceles triangle is y. The length of a leg is 3y+2. The perimeter of the triangle is 46. Find y.

Step-by-step explanation:

Length of the base = y

Length of a side = 3y + 2

Length of the third side= 3y + 2 (Isosceles triangle)

Perimeter = Sum of all sides

46 = y + 3y + 2 + 3y + 2

46 = y + 2(3y +2)

46 = y + 6y + 4

46 = 7y + 4

46 - 4 = 7y

42 = 7y

42/7 = y

6 = y

Therefore, the length of the base is 6

add an image

step-by-step explanation:

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: