posted by .

graph the parabola y=2x^2-6x-3. plot point on the parabola A[1,-7] and draw a line through A with an angle of inclination equal to 30 degrees. then find the equation of the line and its second point of intersection B, with the parabola

  • precalculus -

    Just take this one step at a time:

    a line with inclination 30° has slope tan30° = 1/√3

    Now we have a point and a slope, so that line is

    (y+7)/(x-1) = 1/√3
    y = 1/√3 x - (7+1/√3)

    Now find where that line intersects the parabola:

    2x^2 - 6x - 3 = 1/√3 x - (7 + 1/√3)
    x = 1
    x = 2 + 1/(2√3) or 2.288

    The second point of intersection is thus
    (2 + 1/(2√3) , 1/(2√3) - 41/6)
    or (2.288,-6.256)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A car acclerates at 4m/s/s for 5s and then drove at its final velocity for 8s. It then decelerates at 2m/s/s for 2s. Draw a velocity-time graph and use the graph to find the distance covered during the 15s described. Would I plot (5,8) …
  2. Calc.

    Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, …
  3. Algebra...

    Write the equation of a vertical line passing through the point (8,-4). Graph x=8 and see if that is what you want. I don't understand?
  4. math

    A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E) The …
  5. Math-due today, need a check

    Please help me with this, below is a question I have to answer…below that is my answer…did I do, or answer this correctly?
  6. Math/Algebra

    Please help me with this, below is a question I have to answer…below that is my answer…did I do, or answer this correctly?
  7. Parabola Help

    by plotting the graph of parabola y=2+3x-2x^2 which 3 option are true 1) the graph is the same as that of y=6+9x-6x^2 2)the parabola has a minimum point 3)the gradient of the parabola at x=2 is 0 4)the graphy=2+3x-2x^2crosses the x-axis …
  8. precalc

    I;m not sure if i am doing this right...I keep getting a negative intersection point, which doesn't seem possible. Please help! a) find the equatoin of line 1 which passes through (1,3) and (9,7) I get y=3+1/2(x+1)or y=1/2x+2.5 b) …
  9. Calculus

    Sketch a graph of the parabola y=x^2+3. On the same graph, plot the point (0,−6). Note there are two tangent lines of y=x2+3 that pass through the point (0,−6). The tangent line of the parabola y=x^2+3 at the point (a,a^2+3) …
  10. Business Math

    a) Given x + y = 2 and y = x² - x - 2, find the x-intercepts and y-intercept of the parabola. b) Find the turning point of the parabola. c) Find the x intercept and y intercept of the line graph. d) Find the point(s) of intersection …

More Similar Questions