The value of 3 in 3,456 is what times the value of 3 in 546,300
2 answers:
Answer: The value of 3 in 3,456 is 10 times the value of 3 in 546,300.
Step-by-step explanation:
The place value of 3 in 3,456 is 3 thousand or 3,000.
The place value of 3 in 546,300 is 3 hundred or 300.
To find that the number of times the value of 300 is 3000, we divide the bigger value by the smaller value, we get
Therefore, 3,000 is 10 times 300.
i.e. The value of 3 in 3,456 is 10 times the value of 3 in 546,300.
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Answer:
Step-by-step explanation:
The distance between the focus and the directrix is the vertical distance from the point to the line:
1 -(-3) = 4
The vertex is half that distance between the point and the line, so is at x=2 and ...
y = (-3 +1)/2 = -1
The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...
y = (1/(4·2))(x -2)² -1
y = (1/8)(x -2)² -1
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<em>Check</em>
Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.
