What is the missing term in this arithmetic sequence? 9, 14, 19, __, 29, 34, …
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The required equation of line B is 2y+5x=-2
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the line A expressed as:
2x = 5y – 25
Rewrite in standard form
5y = 2x + 25
y = 2/5 x + 5
The slope will be 2/5
The slope of the perpendicular line will be;
Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B
Hence the required equation of line B is 2y+5x=-2
Learn more here: brainly.com/question/13140886
So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.
Firstly, the equation to find the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:
Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:
Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).