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<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>
Answer:
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Answer:
- Equal midpoints of AC and BC.
- The product of the slopes of the diagonals AC and DB is -1.
Step-by-step explanation:
1. Plot the given points, as you can see in the graph attached.
2. Calculate the midpoint of AC and DB:

Therefore, the midpoint of AC and DB are equal.
3. Calculte the slope of the diagonals AC and DB:

4. Multiply the slopes of the diagonals:
(AC and DB are perpendicular)