Answer:
(6,3)
Step-by-step explanation:
y=2/3 x - 1
y=-1/2 x + 6
Since both equations are equal to y, we can set them equal
2/3 x - 1 =-1/2 x + 6
We have fractions, so I will multiply by 6 to clear the fractions
6(2/3 x - 1) =(-1/2 x + 6)6
Distribute
4x -6 = -3x +36
Add 3x to each side
4x+3x -6 = -3x+3x +36
7x -6 = 36
Add 6 to each side
7x-6+6 = 36+6
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
Now we need to find y
y =2/3x -1
y = 2/3(6) -1
y = 4-1
y=3
(6,3)
Answer:
12
Step-by-step explanation:
You do what's in parentheses first, but everything is in parentheses so it's pretty much ineffective. In PEMDAS, addition and subtraction are coupled so you do them left to right. 6-1 is 5 and 5+7 is 12.
36/5 will be simplified 144/20
Given that the two watchtowers spotted fire in the distance and watch tower 2 was 27 miles from the fire. Assuming that the fire is in the middle of both watch towers, then the distance between the two watch towers will be given by:
distance=[distance of fire from watch tower 1]+[distance of fire from watch tower 2]
=27+27
=53 miles
In the figure we have three parallel lines cut by two transversals
The theorem stares:
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
Applying this theorem we have:

To solve for x we cross multiply
6x=20
Dividing both sides by 6 we have:

The second option x=
is the right answer