Ryan is going to make a sculpture from a rectangular block of clay. the volume of the block is (x+8)(x-3)(2x-5). a)the volume is the product of the area of the base,(x+8)(x-3) and the height, 2x-5. b) the volume is the product

The volume is the product of the area of the base,(x+8)(x-3) and the height, 2x-5.

Step-by-step explanation:

A rectangular prism's volume can be calculated as the product of the length, width, and height. The volume of the block is given as (x+8)(x-3)(2x-5) in the problem, so we can assume that x+8, x-3, and 2x-5 are the length, width and height.

i think the amount would be $140.62

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form