Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
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Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
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Factorize
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
Because there both addition
Answer:
3 1/3 feets
Step-by-step explanation:
Given that:
Height of aquarium = 1 3/4 feets
Area of aquarium = 5 5/6 ft²
The length of aquarium = x
Aquarium is shaped in the form of a rectangle :
Area of a rectangle = Length * width
5 5/6 = x * 1 3/4
35/6 = 7x/4
Cross multiply :
7x * 6 = 35 * 4
42x = 140
x = 140 / 42
x = 3 14/42
x = 3 1/3 feets
Hence, Length of the back of aquarium is 3 1/3 feets
Answer:
The answer is D.
Step-by-step explanation:
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