First we need to find the slope of the original equation
2x - 3y = 3
-3y = -2x + 3
y = 2/3x - 1....the slope here is 2/3.
However, we need a perpendicular line...so we need to use the negative reciprocal slope. All that means is flip the slope and change the sign.
slope 2/3.....flip.....3/2....change the sign...-3/2.
so our perpendicular line will need a slope of -3/2.
y = mx + b
slope(m) = -3/2
(-8,2)...x = -8 and y = 2
now we sub and solve for b, the y int
2 = -3/2(-8) + b
2 = 12 + b
2 - 12 = b
-10 = b
so our perpendicular line is : y = -3/2x - 10
Answer:
34
Step-by-step explanation:
Add them together
5x+10=180
5x+10-10=180-10
5x=170
5x/5=170/5
x=34
Step-by-step explanation:
You know that the three lines are parallel.
There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.
We can then assume 2x+2-9=x+3
Then, to solve, you can get 2x-7=x+3
X=10
Hope this helped!
I'm a bit confused, but hope this helped again!
You could do this step by step or all in 1 statement. I will do it step by step because that's the way I would teach it.
i1
i1 = 4 * (1/2)^(1 - 1) Reduce the power
i1 = 4 * (1/2)^0 Change 1/2 to 1
i1 = 4 * 1 = Multiply 4
i2
i2 = 4 * (1/2)^(2- 1) Same directions as above
i2 = 4*(1/2)^1
i2 = 4*1/2 = 2
i3
i3 = 4 * (1/2)^(3 -1) Same directions as above.
i3 = 4 * (1/2)^2
i3 = 4 * 1/4
i3 = <u>1</u>
Total 7
