Answer:
x=-2,y=-4
Step-by-step explanation:
By dividing to lowest terms
5x – 5y = 10= x-y=2.......(1)
6x – 4y = 4=3x-2y=2........(2)
By elimination method
Multiply equation (1) by 3 so as to correspond with equation (2)
3(x-y)=3(2)
3x-3y=6..........(3)
Multiply equation (2) by 1 so as to correspond with equation (1)
1(3x-2y)=1(2)
3x-2y=2..........(4)
Then equation (3)-equation (4)
(3x-3y=6)
-
(3x-2y=2)
__________
-y=4
y=-4
Substitute y=-4 into equation(1)
x-(-4)=2
x+4=2
x=-2
Therefore x=-2,y=-4
The volume of the building would be the sum of the volume of the roof and the volume of the base
For the volume of the base, the formula is
V = lwh
Where
l = length of base = 50 feet
w = width of base = 15 feet
h = height of base = 15 feet
Volume of base = 50 * 15 * 15 = 11250 square feet
For the volume of the roof, the formula is
V = 1/2lwh
Where
l = length of roof = 50 feet
h = height of roof = 10 feet
w = width of roof = 15 feet
Volume of roof = 1/2 * 50 * 10 * 15 = 3750
Volume of buiding = 11250 + 3750 = 150000 cubic feet
Answer: slope=2/3
Step-by-step explanation: The line starts at (0,3). If you go up 2 units, and over 3 units, that’s the next place where the line crosses an ordered pair (2,6).
Answer:
2x-6
Step-by-step explanation:
Check attachment
Answer:
x = 6°
Step-by-step explanation:
We know that all the interior angles of a triangle sum up to 180°.
(7x+3)°+(80°)+(55°) = 180°
(7x+3)°+(135°) = 180°
(7x+3)°= 45°
7x = 42°
x = 6°