Hello from MrBillDoesMath!
Answer:
x = 116/55
Discussion:
f(x) = 28 =>
12^2 -55x = 28 => as 12^2 = 144
144 - 55x = 28 => add 55x to each sode
144 - 55x + 55x = 28 + 55x =>
144 = 28 + 55x => subtract 28 from each side
144 - 28 = 55x =>
116 = 55x =>
x = 116/55
Thank you,
MrB
F'=(8,7)
G'=(1,1)
H'=(4,8)
**tips: 270 counterclockwise=90 clockwise
if the question is 90 or 270 (counter)clockwise, just exchange the original x and y coordinates and check which area the point is changed to then apply the right sign (+/-) to the coordinates, and if the question is 180 (counter)clockwise, no need to exchange the original coordinates, just check the sign is alright :)
P.S. i hope you could understand what i m saying, cuz i m not a native english speaker so my english may not be good, sorry for that :p
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
<h3>What is the area of trapezoid?</h3>
The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
Learn more about the area of trapezoid here;
brainly.com/question/1410008
#SPJ1
Complete Question:
Write a formula for the given measure. Let P represent the perimeter in inches, and w
represent the width in inches. Identify which variable depends on which in the formula.
*The perimeter of a rectangle with a length of 5 inches
Answer:
P = 2(5 + w)
Or
P = 20 + 2w
P is the dependent variable
w is the independent variable
P depends on w.
Step-by-step explanation:
Given:
Perimeter of rectangle = P
Width of the rectangle = w
Length of the rectangle = l = 5 in.
Formula for perimeter of a rectangle = 2(length + width)
Plug in the values. Formula for the given measure would be:
P = 2(5 + w)
Or
P = 20 + 2w
P is the independent variable, while w is the dependent variable.
This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,
P depends on w.