Answer:
The solution is (8, -1).
Step-by-step explanation:
2x + 4y = 12..........(1)
y = 1/4x – 3 ..........(2)
Substitute y = x - 3 in equation (1):
2x + 4(1/4x - 3) = 12
2x + x - 12 = 12
3x = 24
x = 8.
Now substitute for x in equation (2):
y = 1/4 *8 - 3
y = -1.
Let's test each alternative :
2 x - 9 y = 38 ( 7,5 ) :
( 2 * 7 ) - ( 9 * 5 ) = 38
14 - 45 = 38
-31 ≠ 38 ( wrong )
( 4 , - 1 ) :
( 2 * 4 ) - ( 9 * ( - 1 ) = 38
8 + 9 = 38
17 ≠ 38 ( wrong )
( 3 , - 3 ) :
2 * ( 3 ) - ( 9 * ( - 3 ) = 38
6 + 27 = 38
33 ≠ 38 ( wrong )
( 1 , - 4 ) :
2* ( 1 ) - 9 * ( - 4 ) = 38
2 + 36 = 38
38 = 38 ( Correct alternative )
( 1 , - 4 ) is correct alternative
so 4 to the fourth power is 16 and 16 to the fourth power is 65,536
Answer:
A = 12 square units
Step-by-step explanation:
Area of a Triangle = base * height / 2
The triangle might look weird and doesn't look like it has a base, but if you look at the left side you see there is a straight line which means there is a base, so we flip the picture until we see that the flat line on the bottom or the base.
The base is 4 units.
To find the height, we don't need a straight line, we just need to see how the tall the triangle is, to do that you must start from the lowest point and count up to the highest point.
You now get 6 units.
A = bh/2
A = 4*6/2
A = 24/2
A = 12 square units
