66. in 1 month, a plumbing contractor uses 1,200
feet of 1/2-inch copper pipe at $8 per 20-foot
length, 450 feet of 3/4-inch copper pipe at
$11 per 20-foot length, 310 feet of 1-inch
copper pipe at $9 per 10-foot length, 510 feet
of 4-inch plastic pipe at $4 per 10-foot length,
and 264 feet of 112-inch plastic pipe at $3 per
10-foot length. what is the total amount he
paid for pipe for that month?

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation:

to complete this square you have to rotate about the origin 270 degrees clockwise.

answer

a) the midrange of the data set shown is 85.5

step by step explanation

let's find the midrange.

the midrange is nothing but add the greatest value and the least value, then divide it by 2.

here the greatest value = 99

the least value = 72

midrange = (99 + 72)/2

= 171/2

midrange = 85.5

you.