The answer is 11.66 or 11.67 depending on how you round the decimal
∑x = 1 + 2 + 3 + 4 + 5 + 6 = 21
∑y = 8 + 3 + 0 + 1 + 2 + 1 = 15
∑x^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
∑y^2 = 64 + 9 + 0 + 1 + 4 + 1 = 79
∑xy = 8 + 6 + 0 + 4 + 10 + 6 = 34
r
= (n∑xy - ∑x∑y)/(sqrt(n∑x^2 - (∑x)^2)*sqrt(n∑y^2 - (∑y)^2)) = (6(34) -
21(15))/(sqrt(6(91) - (21)^2)*sqrt(6(79) - (15)^2)) = (204 -
315)/(sqrt(546 - 441)*sqrt(474 - 225)) = -111/(sqrt(105)*sqrt(249)) =
-111/(10.25*15.78) = -111/161.7 = -0.68
Area of the front and back faces = 2 [ (8.1 x 8.1) + (1/2 x 8.1 x 2.1 ] = 148.23 in²
Area of the right and left faces = 2 [ 11.8 x 8.1 ] = 191.16 in²
Area of the top = 2 [4.6 x 11.8] = 108.56 in²
Total Area = 148.23 in² + 191.16 in² + 108.56 in² = 447.95 in²
Answer: Theo will need to paint about 447.95 in².
Answer:
Total laps = 10d
Step-by-step explanation:
Let c = Carl's laps
d = Daria's laps
e = Erin's laps
c = 3d
c = e/2
c + d + e = totals laps
We can insert 3d in place of c in the third equation
3d + d + e = total laps
Also, e/2 equals 3d
e/2 = 3d
Multiply both sides by 2
(e/2 = 3d)2
e = 6d
Insert the new e
3d + d + 6d = 10d = totals laps
Answer:
Formula Of Vertex and Line of symmetry
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex"
