Answer:
The equation of the graph after translating one unit to the left is;
![y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cleft%20%7C%20%5Cdfrac%7Bx%7D%7B2%7D%20-%20%5Cdfrac%7B3%7D%7B2%7D%20%20%5Cright%20%7C%2B3)
Step-by-step explanation:
The given equation is ![y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3](https://tex.z-dn.net/?f=y%20%3D%20%5Cleft%20%7C%20%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20x%20-%202%20%5Cright%20%7C%2B3)
We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4
Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;
![y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3](https://tex.z-dn.net/?f=y%20%3D%20%5Cleft%20%7C%20%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20%28x%2B1%29%20-%202%20%5Cright%20%7C%2B3%20%3D%20%20%5Cleft%20%7C%20%5Cdfrac%7Bx%7D%7B2%7D%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%20%20-%202%20%5Cright%20%7C%2B3%20%3D%20%20%5Cleft%20%7C%20%5Cdfrac%7Bx%7D%7B2%7D%20-%20%5Cdfrac%7B3%7D%7B2%7D%20%20%5Cright%20%7C%2B3)
The equation of the graph becomes;
.
Answer:
it's letter b i took test :)
Step-by-step explanation:
Hello! :)
Answer:
![\huge\boxed{38^{\circ}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B38%5E%7B%5Ccirc%7D%7D)
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.
Answer:
B.
Step-by-step explanation: