A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

The length has increased by a factor of 4/3 or 1 1/3

Step-by-step explanation:

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.