Find the point on the line y = 8x + 7 that is closest to the origin. (Hint: the distance between two points/ordered pairs (21.31) and (22,92) in the XY-plane is given by the formula: √(2-₁)² + (32-₁)²)

Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: Find the distance from the point (1, −3, 6) to the x-axis.

A:

Q: Find the midpoint of these two points (4, 6) and (7, 10) Use the formulas: x = (x1 + x2)/2 %3D y (yi…

A: Consider the points, 4,6      and         7,10 The midpoints of two points is given by the formula,…

Q: Find B if A is (-4,7) and the midpoint of the line segment AB is (0,1)

A:

Q: FinD the asymplehes of the Cerve +y) (x+24+2) = X+94-2. 2,

A:

Q: Let a be a real number. What is the equation of the line that goes through (1,2+ a/2) and is…

A:

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: Find a point whose coordinates are integers and whose distance from (3, 2) is √41

A: To find:   a point whose coordinates are integers and whose distance from (3, 2) is √41 Consider the…

Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: How many circles touch the x-axis and the y-axis and pass through the point (2,1)? Select one: a.…

A:

Q: Sketch the line parallel to 3x + 2y = 12 which passes through the point P(0, 2).

A: Given,         The line parallel to 3x+2y=12 which passes through the point P0,2.We know that,…

Q: Let f(x) = 2x² – 31x + 6. Find the slope of the secant line - through the points (-3.6, f(-3.6)) and…

A:

Q: Find the distance between the point (-4, 2) and the line 3x + 5y + 2 = 0. NOTE: Enter the exact…

A:

Q: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

A:

Q: Find the coordinates of a point on z-axis which are at a distance of 7 units from the point P(3,-2,…

A:

Q: Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

A: By using formula of area of triangle and basic geometry. Area of right angle triangle = 1/2(B×H)