tween Pi (x, y) and point P2 (-2, 4) is Pm (2, -1). Find th 3. Find the distance from the point (5, -3) to the line 7x - 4y - 28 = 0.

Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

A:

Q: Find the distance, to the nearest hundredth, between the given points. P1(0, 7) and P2(-4, 8) Find…

A: We need to find the distance.

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: Find the egmation for the Line" dhint passes through the point (,0) and parallel to the Line…

A: NOTE:Kindly repost the other question as a separate question.

Q: Determine the point(s) on y=x2-1 that are closest the point (7,7)

A: Let (x, y) be the point on the given graph which is closest to (7, 7). Therefore the distance…

Q: How find the pistance from fant (1,3) and Line y -4

A:

Q: Find the equation of the tangent to the curve y=x^2 -3x +4 at the point where the tangent makes an…

A: given that tangent to curve y=x2-3x+4 makes an angle of 135 degrees with x axis.

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: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: Arc length is defined as the distance between two points on the curve. It is done in such as way…

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t,…

A: The distance of a point P from a line passing through the point Q and parallel to the vector v→ is…

Q: A line L1 with slope of -3 intersects a line L2 parallel to the y – axis at (3,5). Find the angle…

A: Answer and explanation is given below...

Q: Find the distance from the point Q to the line ℓ.

A: Given: Q=0, 1, 0, l with equation xyz=111+t-203.

Q: he slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

A:

Q: Find the distance from the point (0, 0, 0) to the line x = 5 + 3t, y = 5 + 4t, z = -3 – 5t.

A: Find the distance.

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 distance between the line 3x − y = 0 and the point (2, −4).

A:

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

A:

Q: The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y.

A:

Q: 22. Find the distance from the point (5, 2, –1) to the line x – 1 2. || ||

A: A line in three-dimensional geometry can be represented by parametric form, vector form, or…

Q: Find the point on the line y=5x+3 that is closest to the origin (x,y)=(______)

A: Let (m,n) be the point on the line which is closest to the origin.Put n = m, y = n, in y = 5x + 3…

Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?

A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

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

A:

Q: Find the distance between the points (1,1) and (3,9) along the line y=4x-3

A: Since the points (1,1) and (3,9) lie on the line, so the distance between the points along the line…

Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

A:

Q: The slope of the line tangent to the circle x' + y = 100 at the point (- 6,8)is

A:

Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

A:

Q: The line y = 3x+7 and the curve xy-x = 4 intersects at the points A and B Show that the equation to…

A: Given Data: Equation of the line: y=3x+7 ......(1) Equation of the curve: xy-x2=4 ......(2) The line…

Q: Find the distance from the point (2, 1, 3) to the line x = 2 + 2t, y = 1 + 6t, z = 3

A:

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

A:

Q: Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

A: tangent

Q: Find the distance between the point (2, 9) and the line y = 3x + 4

A: Find the distance between the point (2, 9) and the line y = 3x + 4 To find the distance between a…

Q: What are the coordinates of the points in the graph of y? - - x2 + 6x – 13 = 0 in which the tangent…

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

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: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Find the approx. distance of the point (6, -3) from the line 2x – y +4 = 0 a. 6.5 units O b. 10.5…

A:

Q: Perpendicular to By=X-4 and passes through tha point G2,).

A: The perpendicular line is given as 3y=x-4......(1) The equation of line in slope intercept for is…

Q: A cable hangs between two equal poles 10m apart in the shape of the catenary y = 10 cosh(x/10) – 15,…

A: The given data is: y=10coshx10-15 To find the slope of the cable where it meets the left pole at…

Q: distance

A:

Q: Find y so the distance between (7, y ) and (3, -1) is 5.

A: We have to find y so the distance (7,y) and (3,-1) is 5.

Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+ 5t, z = 3+ 3t.

A: