Outside of the United States, the common paper size is called A4 and measures 21 by 29.7 centimeters. Let V(x) = (21-2x)(29.7 -2x)(x) be the volume in cubic centimeters of a
box made from A4 paper by cutting out squares of side length x in centimeters from each
corner and then folding up the sides.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this