35 A despatch rider is in open country at a distance of 6 km from the nearest point P of a straight road. He wishes to proceed as quickly as possible to a point Q on the road 20 km from P. If his maximum speed across country is 40 km/h, 50 km/h on road, then at what distance from P, he should touch the road.

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Q: As shown in the diagram, S represents a water station located on a straight coast on land, and E is…

A: The underwater length of pipe is:  PE=x2+30002

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Q: 14. Two planes leave the same airport travelling along straight paths that differ in direction by…

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Q: 86. Find the point on the line y = x +1 that is closest to the point (4, 1).

A: Here d=x-42+y-12.

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Q: A radio tower services a 10-kilometer radius. You stop your car 8 kilometers south and 7 kilometers…

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Q: 59. Find the coordinates of the point on the y-axis that is equidistant from (-3, –5) and (2, 4).

A: We can find the point as below

Q: Solve the Cauchy problem y'

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Q: 1. Given that a particular line, AB, passes through the points (6, 12) and (8, 18): Required:  a.…

A: Given line AB passes through (6,12) ,(8,18).

Q: You drive 6.0 km at 50 km/h and then another 6.0 km at 90 km/h. Your [Q2D] :average speed over the…

A: We have the formula of speed is speed=distancetime            ....(2) Now, this gives us the formula…

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: 17 Find the coordinates of B if B is halfway between AC and C is halfway between AD

A: Given: A (-4, -5) D (6, 11) C is the midpoint of AD and B is the midpoint of AC So, for midpoint C:…

Q: 2. Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man…

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Q: 4. State the missing coordinates of the points below, if the points lie on the line: 8= 2.x-4y, Show…

A: The given line is 8=2x-4y

Q: In the Cartesian plane below, rectangle MNQR is shown. y (cm) N(12,29) M P >x (cm) R • An ant starts…

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Q: Consider the line graphed on the coordinate plane. y Which statement is true? O The initial value of…

A: We have to find the initial function value

Q: Based on the line of best fit, which of these statements is true? A. It takes about 20 minutes for…

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Q: A man launches his boat from point bank of straight river, 2 km wide, wants to reach 1 km downstream…

A: Let the man lands at some point D at a distance of x from C where x can also be 0 and 1 KM which…

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Q: 2. An air traffic controller is tracking two airplanes. The first airplane is 17.4 km away from the…

A: Let be the position of air traffic controller, A be the position of the first airplane which is 17.4…

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Q: 3. An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie.…

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Q: Suppose the prices of the commodities A and B are p1 and p2 respectively. The consumer purchases X1…

A: We are given the price of commodity A is p1 and the price of commodity B is p2 Now, X1 units of…

Q: find the distance from the point (−5, 1) to the line 3x − 4y + 1 = 0.

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Q: A man launches his boat from point A on a bank of a straight river, 1 km wide, and wants to reach…

A: The solution is given as follows :

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Q: 65) At what point on the liney = b does the line segment from (0,0) to (a,0) subtend the greatest…

A: Given:       the line y=b does the line segment from (0,0) to (a,0).

Q: 1. Find two nonnegative numbers whose sum is 30 and the product of the square of one (z) and the…

A: Given,  x and y are non negative numbers  x + y = 30  We have to find the number x such that x2y3 is…

Q: 3. To approximate the straight-line distance from point D to point E on opposite sides of a small…

A: Use cosine theorem

Q: 2/3 2/3 Sindangquationaflatangat linotothe cunse X (8,-4) " ye 2 a0at the point

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Q: 19. Find all points on the y-axis that are 6 units from the point (2, 5). SLO 9

A: NOTE: Refresh your page if you can't see any equations. . the first point is  the second point is…

Q: A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach…

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Q: A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach…

A: Let x = the distance from C to D, 0≤x≤1 We want to minimize the time, t, it takes t row to point D…

Q: 18/26 Question 17 of 23, Step 1 of 1 Correct Two trucks leave a warehouse at the same time. One…

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Q: Sally has marked a straight-line track for her pet turtle on her sidewalk. On Monday, her turtle…

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Q: Let x be the number of minutes and y the number of miles. At the end of a​ ride, the driver said…

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Q: 1. Find the shortest distance from point B to the Line AC and to the Line AD. D 8. A ZA B.

A: Given Figure:    To find:  Shortest distance of line from B to AD and point B to AC.    Formula…

Q: 6. Construct a copy of the line segment AB. One of the endpoints should be at point P. C A

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Q: 2) If the cuve with eanation y= 22?+ ax +5 has a stationary point when >C=-3, then a eanals:

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Q: B is the midpoint of line segment AC. Find x C 5X-6 3X +4 Ox = -5 O x 2 Ox = 5 Ox = 10

A: A line segment is a finite section of a straight line. A mid-point of a line segment is a point…

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Q: 1. The line A cuts the x-axis at the point (q, 0) and the y-axis at (0, p) 2. The line B cuts the…

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Q: 2. The distance that a person drives at a constant speed varies directly with the amount of time…

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Q: 3 4 5 What is true when two chords intersect inside of a circle? The sum of the two lengths of one…

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Q: man launches his boat from point A on a bank of a straight river, 2 km wide, and wants to reach…

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