The given expression becomes undefined when y=5 or y = -3. The answer is option D.
Step-by-step explanation:
The value of the given expression becomes undefined when the denominator equals 0.
Hence to find the value of y which makes the expression undefined, we can equate the value of the denominator to zero and solve it .
Step 1
Equate the denominator to 0.
y^{2} - 2y -15 = 0
Step 2
Solve the above equation to get the value of y.
y^{2} - 2y -15 = 0
=> (y-5)(y+3) =0 [ Roots of the quadratic equation]
=> y = 5 or y = -3.
Hence when y = 5 or y = -3 the denominator becomes 0, which makes the expression (2y+7)/0 and hence it is undefined.
Answer:
5 units.
Step-by-step explanation:
The polygon A'B'C'D' is created after translating the polygon ABCD.
Now, we know that the distance that each point moves after translation will be the same.
Now, we have to determine the distance between points A(1,5) and A'(-2,1).
Therefore the distance AA' will be given by
units.
Hence, the distance between the points B and B' will be 5 units. (Answer)