Determine the equation of the line passing through the point (3,22) which minimizes the area of the triangle formed in the first quadrant.

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A: Given: (12,15)

Q: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

A:

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

A:

Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

Q: Find the distance between two points (3,3) and (9,6).

A: We can use the distance formula to find the distance between two points.  The distance formula is d…

Q: Find the distance from the point to the line. (-4, – 2,1); x= 5 – t, y = 1- 2t, z = - 6 + 3t

A:

Q: Find an equation of the line through the point ( 3, 5 ) thatcuts off the least area from the first…

A:

Q: Find the point in the first quadrant where the line y=4x intersects a circle of radius 5 centered at…

A: Equation of circle : x-h2 + y-k2 = r2 ; where (h,k) is center and 'r' is the radius .

Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-

A: Given that two points   A =2, 0, -1     and   B = 4, 5, -2      If two points were given, then…

Q: Find the point on y – axis which is equidistant from the points (3, 1, 2) and (5, 5, 2)

A:

Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

Q: Find the distance d between the points (-4,5) and (3,2).

A: To find the distance between two points -4,5 and 3,2. Solution: We know that distance between two…

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

A:

Q: Find the distance between the points (3, 2) and (4, 3)

A:

Q: Find the shortest distance from x²+3y²=12 to the point (4,2).

A: We have to find the shortest distance from x²+3y²=12 to the point (4,2).…

Q: Find | x²z ds, where C is the line segment C from (0,-3,2) to (-3,-2,8)

A: Given C is the line segment from (0,-3,2) to (-3,-2,8) Now write the parametric equation for C…

Q: Find an equation of the line through the point (3,5) thatcuts off the least area from the first…

A: The line with slope m (where m < 0 through (3, 5)).

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: Find the exact distance between the points (- 3, 4) and(2, - 1).

A: The given points are (- 3, 4) and (2, - 1). The objective is to find the distance between the…

Q: Find the point on the line y = x closest to the point (1, 0). Hint: It is equivalent and easier to…

A: Distance between two points in xy-plane can be calculated using the distance formula. For two points…

Q: Find the slope and y-intercept of the line through the point (4,10) that cuts off the least area…

A: We have to Find the slope and y-intercept.

Q: find the distance from the point to the line. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

A: We have to find distance from the point 2,1,-1 to the line x=2t, y=1+2t, z=2t

Q: Find the Exact and approximate distance between the two points (7,2) (11,5)

A: The given two points are (7, 2) and (11, 5) The distance formula is given as:

Q: Find the distance from the point (1,3) and the line 3x+4y+53D0

A:

Q: Find the equation of the line through (2,4) that cuts off the least area from the first quadrant.

A: Given the equation of the line through (2,4).

Q: Find the shortest distance from the point ( – 1, – 2, 5) to the cone z = x² + y?. Please round to…

A:

Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

A:

Q: find the point p on the line y=5x that is closest to the point (78,0). what is the least distance…

A:

Q: Find the point on the line y = 2x + 3 that is closest to theorigin.

A: Given equation of line,  y = 2x + 3 To find the point on line that is closest to the origin.

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Find the shortest distance from the point (- 1, – 2, 5) to the cone z = x² + y². Please | round to…

A: Distance of a point from cone is                                      d=(x-x1)2+(y-y1)2+(z-z1)2 from…

Q: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

A:

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: What is the equation of the normal line to the parabola y = 2x? – 5x + 1 at the point on the…

A:

Q: Find the distance between the points (-1,3) and (4.2).

A:

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

A:

Q: Find the distance between the plances 3x + y- 4z = 2 and 3x + y - 4z = 24

A:

Q: Find the distance between the plances 3x + y – 4z = 2 and 3x + y – 4z = 24

A: Given the two planes 3x+y-4z=2,3x+y-4z=24. The distance between two planes Ax+By+Cz=d1,Ax+By+Cz=d2…

Q: Find the points on the line 2x+y=5that is the closest to the origin.

A:

Q: How Find the Distance from Fant(1,3) and Line y =4

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: Find the length of the curve on the interval 3/2 Y= (10x+ 15) 15

A:

Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

A:

Q: find the distance from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: Find the distance between the two points (-5, 4) and (3, 8).

A:

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A:

Q: Find the following points of intersection.

A: Given that, y=42xy=2x2

Q: Find the equation of the line tangent to 8x2 + 18y3 = 152 at x = 1. %3D

A: The equation of a line tangent to a curve, y = f(x) passing through the point (x1,y1) is given by: y…

Q: What is the distance between the point (-2, 5, 3) and the z-axis?

A: