A student pulls out a marble from a bag containing blue, green, and red marbles. He records the color and places it back into th
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We know that equation of a parabola is given by :-
y = a(x-h)² + k
Where (h,k) is the vertex of parabola and (x,y) is any point on its curve.
Given that vertex of parabola is (3,5) and one point (x,y) is (6,-1).
We can plug the given information in the equation of parabola and solve it for value of 'a' :-
-1 = a(6 - 3)² + 5
-1 = a(3)² + 5
-1 = 9a + 5
9a = -1 -5 = -6
a =
a = is the final answer.
Answer:
The expression simplifies to .
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the terms in the numerator and in the denominator cancel to give
The are present both in the numerator and in the denominator, so they also cancel, and the fraction
simplifies to
, so finally our expression becomes:
Which is our answer:)