Find the values of p so that line 1-x_7y-14 z-3 = 2p 2 3 and 7-7x_y-5_ = 3p y75 = 6 1 -5 6-z 5 are at right angles.

Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: A: (-3,4) B: (7,-8) slope: midpoint: distance:

A: Slope between two point (x1,y1) and (x2,y2) is y2-y1x2-x1mid point  of two point (x1,y1) and (x2,y2)…

Q: For the equation y= x^2-9/x^2+2 find the intercepts and test for symmetry.

A: First we will find the intercept of the given equation on x-axis that means we will put y=0 in the…

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = (2, - 3); P2 = (4, 2)

A: Our Aim is to find the midpoint of the line-segment joining the points P1=(2,-3) and P2=(4,2).

Q: For the line 3x2 - 2x - 21= 0, how did you get the figure 3x2 ?

A: NOTE: Refresh your page if you can't see any equations. . find the determinant of the matrix

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

Q: Find the midpoint of the line segment with endpoints (1, 2) and (7, -3).

A: Given  The line segment with endpoints (1, 2) and (7, -3).   Midpoint formula :- x, y=x1+x22,y1+y22

Q: Find the quadratic y ax²+bx+c that best fits the data points (-2,-43), (-1, 79), (0, −55), (1, −5),…

A: We have to find the quadratic y = ax2 + bx + c that best fits the data points (-2,-43), (-1,79),…

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

A:

Q: Verify that (3, 1) is the midpoint of the line segment joining (-2, 6) and (8, -4).

A: Consider a line segment AB such that A=x1, y1 & B=x2, y2 Let P be the midpoint of the line…