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Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
To find a, you need to isolate/get the variable "a" by itself in the equation:
Multiply the inverse of 1/2, which is 2, to get rid of the fraction
a - 7 = 66 Add 7 on both sides to get "a" by itself
a - 7 + 7 = 66 + 7
a = 73
