What is the answer to thing I will give brainlyest
1 answer:
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Answer :
Given expression is
To make perfect square trinominal we use completing the square method
In completing the square method we add and subtract the half of square of coefficient of middle term
Here coefficient of middle term is -7
Half of -7 is
Square of is
=
So the expression becomes that gives perfect square trinomial
Hence , the value of 'c' is
<h3>Answer:</h3>
- x = 5/6 in ≈ 0.83 in
- v = 125/108 in³ ≈ 1.16 in³
The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).
The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...
... v = (5/6)²×(5/3) = 125/108 . . . . in³
The corresponding decimal values of x and volume are ...
... x ≈ 0.83 in
... v ≈ 1.16 in³