The graph y= b - (x + a)^2 passes through the points (0, -3), (1,0) and (C,0). Find the value of C.

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x X-axis…

A:

Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

A:

Q: Find a point on the line 3x − y = 4 that is closest to the point (–2, 3)

A:

Q: Find the point on the line 4x + y = 6 that is closest to the point (-4, 3). (х, у) %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Estimate the x- and y-intercepts from the graph. 2- -9 -8 -7 -6 -5 -4 -3 -2 -1, 2 3 4 5 6 78 9 -2 -3…

A:

Q: It passes through the point (5,7) and parallel to the line 3x+y-10= 0   its has a x intercept 4…

A: Given,          It passes through the point 5,7 and parallel to the line 3x+y-10=0.          Its has…

Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…

A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 2).

A:

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

A:

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y and the x-axis…

A:

Q: Find the slope and y-intercept of the line through the point (5,9) that cuts off the le slope = %3D

A: let slope of the line is = m  The equation of line passing through the point (5,9) and having slope…

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x…

A:

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: The line parallel to y=-x-2, passing through the point (–4, 2).

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

A: Solution

Q: point on the line

A: I

Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: Find the line LI passes through the point (-2,2) and perpendicular to the line L2: 2x +y-4.

A:

Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Find the point on the line x - y + 2 = 0 that is closest to the point (2,5).

A:

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: Give nonlinear equation:

A: Given,             sinx=cotx and x0=1, and x1=0.5

Q: Find the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the…

A: Solution

Q: The equation of the line with slope – 2 that goes through the point ( – 8, – 7) can be written in…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x - 5x² and…

A: Given that equation of parabola y=4x-5x2let ,equation of line y=mx   where slope=m which is devide…

Q: Find an equation in slope intercept form that passes through the point (5,12) and has an x intercept…

A:

Q: Find the point on the line 3x + 3y - 3 = 0 which is closest to the point (-2, 1). )

A: To find closest point on the line, draw perpendicular from the given point to the given line. The…

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 2).  (x,y)=

A:

Q: Find the point on the line 3x+y=9 that is closest to the point (-4,1). (X,y)=?

A: Closest point is (x, y) =(2, 3)

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A:

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

A:

Q: Find the point on the line 4x + y = 9 that is closest to the point (-3, 1). (х, у) %3

A: 4x+y=9 and the point is -3, 1. Let x, y be the required point on the line. Now the distance between…

Q: Find the equation of the curve that passes through (1,13) and having a slope of -4x at that point.

A: *given:- slope, dy/dx = -4x points (x, y) = (1, 13)   *to find:- equation of the curve.

Q: How do I find the equation of the line passing through the pair of points (0,7) and (0,8)?

A: Given points are (0,7) and (0,8).

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x- 3x2 and…

A: Given the parabola : y=7x-3x2Let the line through the origin be : y=mx   , where m is the slope of…

Q: There is a line through the origin that divides the region bounded by the parabola y=7x-(2(x)^2) and…

A:

Q: find equation with y-intercept of 4, containing points (4,4)

A: The slope intercept form of a line is y=mx+c, where m is the slope and c is the y intercept. Here y…

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x-6x and the…

A: