Answer:
by 
by 
Step-by-step explanation:
In this problem I'm assuming the office is rectangular.
so
The area of rectangle is equal to
where
L is the length of the rectangle
W is the width of the rectangle
In this problem we have
so
------> equation A
Find two possible dimensions of the office
case A) Assume a length side L and find the value of W in the equation A
so
For 
substitute in the equation and solve for W
The dimensions are by
case B) Assume a length side L and find the value of W in the equation A
so
For 
substitute in the equation and solve for W
The dimensions are by
For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
Answer:
Slope of Function B = - Slope of Function A
Step-by-step explanation:
Function A
f(x) = - 2x + 1
This is in the form y = mx+b where m is the slope
The slope is -2
Function B
We have 2 points so we can calculate the slope
(0,-3) and (2,1)
m = (y2-y1)/(x2-x1)
= (1--3)/(2-0)
= (1+3)/(2-0)
=4/2
2
Slope of A = -2 Slope B =2
The are opposites
Well I can't be for sure but I know for a fact its not set IV it's not possible to make a triangle out of all right angles. Set II, well, that isn't right either. You can't make a triangle out of all obtuse angles. Like the right angle one, its not possible you can only use one obtuse or right angle in a triangle other wise it's not going to be a triangle. I'd say go try Set III since that would most likely make an equilateral triangle.
It is 2 19/100, because the two is 200%, and the 19 is a prime number. hope this helps
