A restaurant owner creates an advertisement promising $25 to take part in a food taste testing trial. The owner selects the firs
1 answer:
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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.
Answer:
Bridget will get the amount as £26.
Step-by-step explanation:
Given:
Amount Stephen gets = £65
Amount shared in ratio = 5:2
We need to find the amount Bridget gets.
Solution:
Let the common factor in the ratio be .
Amount Stephen gets =
Amount Bridget gets =
But we know that;
Amount Stephen gets = £65
so we can say that;
Now dividing both side by 5 we get;
So now we get;
Amount Bridget gets =
Hence Bridget will get the amount as £26.