The translation moved point B(-5, -2) to B'(6, -5). Although a graph isn't necessary, it helps visualize what happened.
What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.
What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.
45 = (x) + (x + 1) + (x + 2)
45 = 3x + 3
- 3
42 = 3x
/3
14 = x
45 = 14 + (14 + 1) + (14 + 2)
45 = 14 + 15 + 16
The ages of the 3 friends are 14, 15, and 16.
In order to compare the fractions, we need to convert them into decimal form,
1/8 = 0.125
3/20 = 0.15
As 0.15 > 0.125
In short, Your Answer would be 3/20 > 1/8
Hope this helps!
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
Answer:
length of the guy wire: 49.056
Step-by-step explanation:
here are the steps
