A cuboid with a volume of 374 cm'has dimensions 2 cm, (x + 3) cm and (x + 9) cm.
Show clearly that x2 + 12x - 160 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
WILL MARK BRAINLIEASTT

(x+3)(x+9)=x²+12x+27

2x²+24x+54=374

2x²+24x-320=0

x²+12x-160=0

x=-20 x=8  

2cm,(-20+3)cm,(-20+9)cm

L=2cm W=-17cm H=-11

Step-by-step explanation:

Expand (x+3) and (x+9) > x^2+12x+27

Multiply the answer by two 2x^2+24x+54

Move 374 to the side by taking away >54-374=320

Divide the whole equation by 2 ---> x^2+12x-160

Factorise

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:

a

step-by-step explanation: