Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

Tutors Answer Your Questions about Length-and-distance (FREE)

Question 989992: From the point p(-2,4),if PQ is drawn perpendicular to the line 7x-24y+10=0,find the equation of line PQ and its length.
Click here to see answer by josmiceli(19441)

Question 990425: Point B is between A and C. AB is three times BC. If AB = 81, find AC.
If possible please show your work,
Thanks.
Click here to see answer by rothauserc(4718)

Question 990518: Find the angle between the lines y=x/3 + 4/3, y= x/2 + 5/8! Please help me with that
Click here to see answer by Fombitz(32388)

Question 990585: At what points does the straight lind y = 2x^2 +1 intersect the curve y = 2x^2 + 5x - 1 ? Please h�lp me
Click here to see answer by Timnewman(323)

Question 990585: At what points does the straight lind y = 2x^2 +1 intersect the curve y = 2x^2 + 5x - 1 ? Please h�lp me
Click here to see answer by MathTherapy(10552)

Question 990592: Find the equation of the circle passing through the points A(3,2),B(5,3) and C(2,5)
Click here to see answer by anand429(138)

Question 990592: Find the equation of the circle passing through the points A(3,2),B(5,3) and C(2,5)
Click here to see answer by Edwin McCravy(20056)

Question 990646: Find the equations of the two circles with centres on the x -axis and radius 4 which both touch the circle x^2 + y^2 - 2x - 6y + 9 =0 externally. Please help me sir
Click here to see answer by ikleyn(52787)

Question 991398: How can i find two equations of a circle when only one equation is given
Click here to see answer by Alan3354(69443)

Question 992108: The position of an ant and spider in a room are A(2,3,5) and S(6,0,8).Determine: (i)the distance OA ane OS, if O is a point in a room represented by O(1,0,2)
Click here to see answer by solver91311(24713)

Question 992110: Find the coordinate of the midpoint of x ane y intercepts of the line 2y = 4x - 8
Click here to see answer by josmiceli(19441)

Question 992221: if a projectile is shot vertically upward from the ground with an initial velocity of 150 ft per sec. Neglecting air resistance, its height S (in feet) above the ground t seconds after projection is given by S-16t^2 + 150t
after how many seconds will it be 60ft above the ground?
Click here to see answer by Alan3354(69443)

Question 992225: if a projectile is shot vertically upward from the ground with an initial velocity of 150 ft per sec. Neglecting air resistance, its height S (in feet) above the ground t seconds after projection is given by S=-16t^2 + 150t
after how many seconds will it be 60ft above the ground?
Click here to see answer by Alan3354(69443)

Question 992326: Please help me with this! Show that the two circles (x - 3)^2 + (y-4)^2 = 25 and (x-1)^2 + (y-5/2)^2 =225/4. touch each other.
Click here to see answer by Edwin McCravy(20056)

Question 992326: Please help me with this! Show that the two circles (x - 3)^2 + (y-4)^2 = 25 and (x-1)^2 + (y-5/2)^2 =225/4. touch each other.
Click here to see answer by ikleyn(52787)

Question 992326: Please help me with this! Show that the two circles (x - 3)^2 + (y-4)^2 = 25 and (x-1)^2 + (y-5/2)^2 =225/4. touch each other.
Click here to see answer by Theo(13342)

Question 992384: if a weight hanging on a strip of length 4 feet swings through 6 degrees on either side of the vertical,how long is the arc through which the weight moves from one high point to the next high point?
Click here to see answer by solver91311(24713)

Question 992594: 3x-4y-10=0
3x-4y-20=0
Click here to see answer by ikleyn(52787)

Question 990689: Please my good genius Algebra.Com help me with this !Find the equation of the tangent to the circle x^2 + y^2 + ax + 2ay = 3 at the point (0, b) in terms of a and b. If this tangent has a gradient of 1/4,find the relation between a and b. Hence, find the equations of the two possible circles.
Click here to see answer by anand429(138)

Question 990645: There are two circles which passes through the point (1,2) and also touch both axes.Find the equation of the two possible circles.?! Please recomend any coordinate geometory textbook for me
Click here to see answer by anand429(138)

Question 990644: Find the equation of the circle whose centre lies on the line x = 2y, passes throught the point (2,5), and for which the lenght of the tangent from the origin is sqrt{ 7)}}. Please recomend any coordinate geometory textbook for me
Click here to see answer by anand429(138)

Question 990979: For the coordinates (5, 8) and (9, 14), one is an endpoint of a line segment and the other is the midpoint. How many possibilities are there for the other endpoint? Find each one. Explain your method.
Click here to see answer by anand429(138)

Question 989022: Find the equations of the two circles with centres on the x-axis and radius 4 which both touch the circle x^2 + y^2- 2x-6y+ 9= 0 externally
Click here to see answer by anand429(138)

Question 994834: The equation of the line that goes through the point (9,7) and is perpendicular to the line 2x+4y=4 can be written in the form y=mx+b where m and b is:
Click here to see answer by josgarithmetic(39617)

Question 995212: The midpoint of SR is (5,-11). One endpoint is S(3,5). What are the coordinates of point R?
Click here to see answer by fractalier(6550)

Question 995604: Point A (1,-2) and B (5,16) are the endpoint of segment AB. What are the coordinates of Point C on segment AB such that AC is 2/3 the length of AB from B?
Click here to see answer by Boreal(15235)

Question 995643: Find the distance between the pair of parallel lines.
y= 4x + 4
y= 4x - 4
Answer options: a)2.01 b)2.2 c)1.94 d)2.37
This was from a recent math test I took and I can't figure out how to solve. I have a chapter test coming up and want to prepare.
Click here to see answer by josgarithmetic(39617)

Question 995856: A board ten feet long is cut into three pieces. One piece is one foot longer than the shortest piece and two feet shorter than the longest piece. How long is each piece?
Click here to see answer by ptaylor(2198)

Question 995905: Find the coordinates of the point that lies one fourth of the way from (4,6) to (-8,-2)
Click here to see answer by Alan3354(69443)

Question 996700: Two planes leave St. Louis, one lying east and the other lying west. The westbound plane travels 100 mph faster than the eastbound plane, and after 1.5 hours they are 750 miles apart. Find the speed of each plan.
Click here to see answer by lwsshak3(11628)

Question 997410: Graph the image of A(1, -3) after the described glide reflection.
Translation: (x, y)-(x+2, y)
Reflection: in the x-axis
Click here to see answer by EdenWolf(517)

Question 999060: if a 4 -5 and b 7 -9 what is the length of ab
Click here to see answer by Alan3354(69443)

Question 999593:
Click here to see answer by Fombitz(32388)

Question 1000832: given points A(-1,-4), B(1,x), and C(3,-1). determine x so that A, B, and C are collinear
Click here to see answer by josgarithmetic(39617)

Question 1000804: how to calculate the volume of a rectangular prism that is 4.0 cm high, 3.0 cm long, and 2.0 cm wide? how do you express the answer using proper significant figures and units?
Click here to see answer by KMST(5328)

Question 1001508: if the equation of the line is
Y=1/2x -3 find the x coordinate of the point whose y
coordinate is 5
Click here to see answer by ankor@dixie-net.com(22740)

Question 1001732: In a test of a certain lifting machine it is found that an effort of 50N will life a load of 324 N and that an effort of 70 N will lift a load of 415 N assuming that the graph of effort plotted against load is a straight line find the probable load that will be lifted by an effort of 95 N .
I have tried attempting this question but I get stuck
Click here to see answer by Fombitz(32388)

Question 1001745: In a test of a certain lifting machine it is found that an effort of 50N will life a load of 324 N and that an effort of 70 N will lift a load of 415 N assuming that the graph of effort plotted against load is a straight line find the probable load that will be lifted by an effort of 95 N
I understand that when plotting my graph X = 95 N but what is my Y ?

Click here to see answer by vleith(2983)

Question 1001965: Two motorcycles are travelling at speeds of 120 kilometers per hour and 90 kilometers per hour respectively. If the faster one travels for 4 hours longer than the slower one and also goes twice as far, how far did the slow one travel?
Click here to see answer by macston(5194)

Question 1002237: Hi, the combined land area of of the countries is 188,973 square kilometers. Country A is larger by 373 square kilometers. Determine the land area of each country. Thanks for any help, Tina
Click here to see answer by fractalier(6550)

Question 1002288: A ray consist of how many end points.?
Click here to see answer by Edwin McCravy(20056)

Question 1002431:
Rectangle ABCD pictured above has a length of 5 units and a width of 3 units. Point D is the ordered pair (7,4). Find the coordinates of A, B, and C
Click here to see answer by fractalier(6550)

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