Complete the following table using the equation: y = x squared x -3 -1 0 1 3 y Plot the points on a graph and determine which gr
2 answers:
Answer:
c. 9, 1, 0, 1, 9; Graph A
Step-by-step explanation:
The given equation is presented as follows;
y = x²
The values of 'x' are -3, -1, 0, 1, 3
The range of the values of 'y' are; (-3)² = 9, (-1)² = 1, 0² = 0, 1² = 1, 3² = 9
9, 1, 0, 1, 9
The completed table is presented as follows;
The values can be extended using the equation to include points, x = -2, y = (-2)² = 4, and x = 2, y = 2² = 4
To give a graph that passes through the point (-2, 4) and (2, 4)
Given that the coefficient of x² is positive, the graph opens up
Therefore, the graph that best represent the equation is c, 9, 1, 0, 1, 9; Graph A On the coordinate plane, a parabola opens up and goes through (-2, 4), has a vertex at (0, 0), and goes through (2, 4).
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Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
= 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units