The standard form of the parabola is x = -4/3y² -40/3y -103/3
What is parabola?
A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.
x = -4/3(y +5)² -1
Solve for x.
x = (4y² +40y +103)/(-3)
x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US
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Taking our clues from the graph*, we can write the vertex form equation as ...
x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places
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* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...
x = a(y -(-5))² +(-1) = a(y +5)² -1
The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.
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Answer:
y = 7/2x - 20.
Step-by-step explanation:
The slope of the given line is -2/7, therefore the slope of the line perpendicular to it is - 1/ -2/7 = 7/2.
When x = -4, y = -6 so we substitute x1 = 4, y1 = -6 and m ( the slope) = 7/2 in the point slope form of a line:
y - y1 = m(x - x1)
y - (-6) = 7/2(x - 4)
y + 6 = 7/2x - 14
y = 7/2x - 20.
To solve, you need to carry the decimal two spaces to the right because there are two zero in 100 so 0.17 times 100 is 17. The height of the tree after ten years was 17 meters tall in height.
6 is the answer to your question