Answer:
12
Step-by-step explanation:
Absolute vals combined re 12 (1 negative and one positive cause this
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 = 
Hope this helps!! :)
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Answer:
y = -3
Step-by-step explanation:
2 - 4(y + 1) = 2y + 16
2 - 4y - 4 = 2y + 16
2 - 4 = 6y + 16
- 2 = 6y + 16
- 18 = 6y
-3 = y
Answer:
y = 1/3x + 14/3
Step-by-step explanation:
y = mx + b
we know the slope, so the equation would be --> y = 1/3x + b
Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:
y = 1/3x + b
6 = 1/3(4) + b
6 = 4/3 + b
-4/3 -4/3
----------------
14/3 = b