Dyingontheinside Dyingontheinside

01-06-2018
Mathematics

contestada

The volume of the rectangular prism is 60x^3 + 145x^2 + 70x. Factor to find the possible expressions for length, width and height of the prism.

Respuesta :

02-06-2018

The volume of the rectangular prism:
[tex]V=length\cdot width\cdot height=lwh[/tex]

[tex]60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2[/tex]

Answer Link

Otras preguntas

Damage to the ________ will result in prosopagnosia, the inability to recognize faces.

The pool has a diameter of 20 ft and a depth of 3.5 ft. how many cubic feet of water are needed to fill the pool? (round your answer to 2 decimal places: you do

How do I solve this equation

How does prokaryotic cell division differ from eukaryotic cell division?

Memories of emotional events are especially likely to be facilitated by activation of the

Find the exact solution of the system of equations of x^2+y^2-4x-6y+4=0 and x^2-4x-3y+4=0

What's the best option if you can't show your PowerPoint presentation at all? A. Create PDF/XPS Document B. Prepare a Package Presentation for CD

what is the algebraic equation the difference between a number and 11 is 3 more than half the number

When creating a professional presentation, transitions should A. use multiple effects to keep the audience interested. B. remain consistent by using

Italian unification was complete when naples and sicily were turned over to victor emmanuel by