Answer: x = 6
Step-by-step explanation: To solve for <em>x</em>, we must first isolate the term containing <em>x</em> which in this problem is -3x.
Since 28 is being added to -3x, we subtract 28 from both sides of the equation to isolate the -3x. On the left, the +28 and -28 cancel out and on the right 10 - 28 is -18 so we have -3x = -18.
Now we can finish things off by just dividing both sides of the equation by -3. On the left the -3's cancel and we have <em>x</em>. On the right, -18 divided by -3 is 6 so we have x = 6 which is the solution to our equation.
Hello LovingAngel!
To find the slope, you can use the formulas
![\frac{rise}{run}](https://tex.z-dn.net/?f=%20%5Cfrac%7Brise%7D%7Brun%7D%20%20)
as well as
![\frac{y^2-y^1}{x^2 - x^1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2%20-%20x%5E1%7D%20)
. I am using the latter to calculate and ensuring my answer with the former.
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
![\frac{y^2-y^1}{x^2 - x^1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2%20-%20x%5E1%7D%20)
->
![\frac{8 - 5}{2 - 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20-%205%7D%7B2%20-%201%7D%20)
->
![\frac{3}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B1%7D%20)
or 3.
The slope for (1,5) and (2,8) is 3(/1). Second pair: value 1: (3,1) value 2 (3,-1)
![\frac{y^2-y^1}{x^2 - x^1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2%20-%20x%5E1%7D%20)
->
![\frac{-1 - 1}{3 - 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%20-%201%7D%7B3%20-%203%7D%20)
->
Slope for the second pair is -2/0Checking work with
![\frac{rise}{run}](https://tex.z-dn.net/?f=%20%5Cfrac%7Brise%7D%7Brun%7D%20)
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>
Answer:
y =2x
Step-by-step explanation:
Answer:
AB is mid-segment of this trapezoid, then we have:
2 x AB = DG + EF
=> 2 x 12 = 5x - 4 + 8x + 2
=> 24 = 13x - 2
=>13x = 26
=> x = 2
=> Option A is correct
Hope this helps!
:)