A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90° counterclockwise and continues to move linearly. After the turn, what is the y- coordinate of the robot's position when its x- coordinate is 3?

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: An object moves with constant velocity (which means constant speed and direction) from (-3, 1) to…

A: By using slope intersept formula and distance formulas we solve the given problem

Q: Thus, we must solve the system of equations ng 3x - 2y - 5z = 17 3x²y²z² = 31 Where A is the unknown…

A: The given problem is to find the closest stationary point from the given Lagrange multipliers system…

Q: Does the equation y=5csc(2x+6pi)- 6 include a vertical shift? Horizontal shift?

A: Given equation,  y = 5cosec(2x + 6π) - 6 Does it include horizontal shift and vertical shift?

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Write the equation of a linear model through the points (600,19) and (2000,5)?

A: The given points are (600,19) and (2000,5). It is known that, the equation of the line passes…

Q: find the equation of the line parallel to 8x+13y=16 and passing through the point (0,16).

A: Given equation of a line 8x+13y=16 and a point 0,16 through which a parallel line passes. To find…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Two aeroplanes are departing from an airport. They are flying in a straight line where their flight…

A: Tow airplanes are departing from an airport. They are flying in a straight line where their flight…

Q: i 6i + 2j+ 2k + 2(i- 2j+2k) Find the shortest distance between lines -4i -i + 4(3i - 2)- 2k) and

A: The given lines are as follows- r→=6i^+2j^+λi^-2j^+2k^          ........(1)r→=-4i^-k^+μ3i^-2j^-2k^…

Q: Find an equation of a line parallel to y-3x=5 and passing through the point (2,2) y=?

A: parallel to y= 3x + 5  p(2,2)

Q: Determine the equation of the line perpendicular to y = 3x - 4 passing through the point (5, -3)

A: