For what values of k does the line y kx-4
WebStudy with Quizlet and memorize flashcards containing terms like Mr. Shaw graphs the function f(x) = -5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?, A line that passes through the points (-4, 10) and (-1, 5) can be represented by the equation y = (x - 2). Which equations also … WebFind the set of values of k for which the line y = 2x - k meets the curve y = X^2 + kx —2 at two distinct points. WINTER 2014/ PAPER 11/ QUESTION 5
For what values of k does the line y kx-4
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WebJun 23, 2024 · Possible values of k. The general quadratic equation is: Subtract and . Factorize: Rewrite as: Compare the above equation to: For the equation to have two distinct solution, the following must be true: So, we have: Expand. Rewrite as: Expand. Factorize. Factor out k + 6. Split: or . So: or k . To make the above inequality true, we set: or . So ... WebFind the values of k such that the line y = 9x + 1 does not meet the curve y = kx + 3x (2x + 1) + 4. 2. DO NOT USE A CALCULATOR IN THIS QUESTION. Solve the equation (3 - …
Webthe line could intersect the parabola at exactly one point (the blue line in the diagram). Now think algebraically. To determine where the parabola y = x^2 - 2 x and the line y = k x - 4 … Webthe line could intersect the parabola at exactly one point (the blue line in the diagram). Now think algebraically. To determine where the parabola y = x^2 - 2 x and the line y = k x - 4 intersect substitute y from the line equation into the equation of the parabola to obtain. k x - 4 = x^2 - 2 x. Simplify and set up the general quadratic ...
WebClick here👆to get an answer to your question ️ If the line x + y - 1 = 0 touches the parabola y^2 = kx , then the value of k is. Solve Study Textbooks Guides. Join / Login. Question . If the line x + y − 1 = 0 touches the parabola y … WebAnswer (1 of 2): If the two intersect x^2 -x+2 = kx+1 Rearranging it a bit x^2 -x (1+k)+1=0 For it to have two solutions the discriminant (b^2–4ac) must be greater than 0. (1+k)^2 -4>0 Multiplying out and factoring we have (k+3) (k-1)>0 This will be true when k>1 or k<-3.
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WebMay 17, 2016 · x 2 + kx - 2 = = 2x - k. has two distinct solutions. x 2 + (k-2)x - (2 - k) = 0. Two distinct solutions is the same as having a positive discriminant. b 2 - 4ac > 0. (k - 2) … horseware ladies gorizia warm fleeceWebJan 24, 2024 · Find the set of values of k for which the line y = kx —4 intersects the curve y = x^2 — 2X at two distinct points. SUMMER 2009/P1/Q2 Show more. horseware lightweight turnout rugspspca twitterhttp://mathcentral.uregina.ca/QQ/database/QQ.09.12/h/bianca1.html pspca hoursWebNov 10, 2024 · 1 - kx = -3y If this line passes through the point (4, -3) , then we know that x = 4 and y = -3 are solutions to the equation. We know that this is true... 1 - k (4) = -3 (-3) … horseware lightweight turnoutWebAnswer (1 of 2): * Since the line is tangent to the curve, they “touch” each other. * Substitute y=kx+6 into the equation of the curve. * The quadratic thus ... pspca phone numberWebFeb 13, 2024 · The graph of y = kx is a line through the origin, and the slope of said graph is k. From the graph we can see whether the value of k is positive or negative. For this equation, the constant of variation is k = 1/2. What is the constant of variation of Y KX? k = -2/3 Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3. horseware liner xl