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3 years ago

Lucas bought square tiles to retile the

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

Answer:

121 in² ; 0.840 ft²

Step-by-step explanation:

Given that:

Side length of square tile, s = 11 inches

The Area of a square = a² ;

Where a = side length

Hence, we Can get the area of the square tile using the area of square formula :

Area of square tile = 11² = 121 in²

Area in feets :

1 ft² = 144 in²

x = 121 in²

144 x = 121

x = 121 / 144

x = 0.840 ft²

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2 years ago

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Answer:

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3 years ago

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timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

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The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is: