Answer:
The equation of the line AB is y - x -4 = 0
Step-by-step explanation:
The points are A (10,14) and B(2,6)
Now, slope of the line AB : 
or, 
= 
So, slope of the equation AB = 1
Now, by SLOPE INTERCEPT FORM:
The equation of line is given as : y - y0 = m (x-x0)
So,the equation of line AB is y - 6 = 1(x-2)
or, y - 6 -x + 2 = 0
or, y - x -4 = 0
Hence, the equation of the line AB is y - x -4 = 0
Let the width of the room be = x
Length of the room = 3x, Since it is three times as wide
Perimeter = 80m
Perimeter = 2*(L + W) = 2*(3x + x) = 80
2*(3x + x) = 80
2*(4x) = 80
8x = 80 Divide both sides by 8
x = 80/8
x = 10, But length = 3x, = 3*10 = 30
Length = 30m
Factors of -8 that add up to 2: 4 & -2
(x + 4)(x - 2)
Set x to 0 for both and solve
x = -4
x = 2
Answer:
The answer is A) 98.
Step-by-step explanation:
The surface area of the rectangular prism is 544 cm^2.
There are 3 pairs of different rectangles that form the rectangular prism.
If we find the area of each and add them up, we will have the surface area.
Here are the 3 pairs of rectangles:
6 x 16 = 96
8 x 16 = 128
6 x 8 = 48
2(96) + 2(128) + 2(48) = 544
