A new sidewalk will be 6 feet wide, 260 feet long, and filled to a depth of 9 inches (0.75 foot) with concrete. How many cubic yards of concrete are needed?

43.29 yard³

Step-by-step explanation:

Given that:

Width = 6 feets

Length = 260 feets

Depth =. 0.75 foot

Volume = length * width * depth

Volume = 6 * 260 * 0.75

Volume = 1,170 feet³

Converting 1170 feet³ to yard³

1 cubic feet = 0.037 cubic yard

Hence,

1,170 feet³ = ( 0.037 * 1170) = 43.29 yard³

Hence, 43.29 yard³ of concrete are needed.

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

answer: -1

step-by-step explanation: