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

If the speed of an object is tripled, its kinetic energy will be

in what ways is climate controlled by the sun and the water cycle ?

in what ways is climate controlled by the sun and the water cycle ?

A child is standing across the street from his apartment . His mother is on their balcony . The angle of elevation between the child's eyes and his mothers eyes

What is Sir Francis Drake hardships

Does the depth of a pan affect how water freezes?

is it possible for a distance versus-time graph to be a vertical line?

Why is RNA necessary to act as messenger?

How does transpiration play a role in the water cycle ?

A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s , as shown in the figure . The stairs are angled at