<span>4|2x − 2| + 10 = 34
</span><span>4|2x − 2| + 10 - 10 = 34 - 10
</span><span>4|2x − 2| = 24
</span><span>|2x − 2| = 24/4 = 6
2x - 2 = 6 or 2x - 2 = -6
2x = 6 + 2 or 2x = -6 + 2
2x = 8 or 2x = -4
x = 8/2 or x = -4/2
x = 4 or x = -2
To check for extraneous solutions:
</span>For x = 4: <span>
4|2(4) − 2| + 10 = 34
4</span><span>|8 − 2| = 34 - 10 = 24
6 = 24/4 = 6 (solution is valid)
</span><span>For x = -2: <span>
4|2(-2) − 2| + 10 = 34
4</span><span>|-4 − 2| = 34 - 10 = 24
</span></span><span><span><span>|-6| = </span>6 = 24/4 = 6 (solution is valid) </span>
</span>
Therefore, solutions are x = 4 , x = -2
5 mph
1 hour = 60 min
5/60 = 1/12
1/12 miles in 5 miles is your answer
hope this helps
Answer:
Step-by-step explanation:
Hope this helps!
I believe it is 15 if the model is drawn to scale, this is because x and the other ray of 15 are both connected to the vertex P and extend to the edges
Answer:
9) -25/21
11) 14
Step-by-step explanation:
In each case, subtract the y-coordinates. Subtract the x-coordinates in the same order. Divide the difference in y by the difference in x.
9)
y-coordinates: -10 - 15 = -25
x-coordinates = 6 - (-15) = 21
slope = (difference in y)/(difference in x) = -25/21
11)
y-coordinates: -20 - 8 = -28
x-coordinates = 3 - 5 = -2
slope = (difference in y)/(difference in x) = -28/(-2) = 14
