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

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

Question 798196: An explorer hikes 4 miles due east, 7 miles due south, then 3 miles due east, then 1 mile due north, and finally 2 miles due west. How far is he from his original position? (This is a pythagorean theorem problem)
Click here to see answer by KMST(5328)

Question 799373: find the distance between the points (2,2) and (8,-6) ?
Click here to see answer by Finavon(81)

Question 799669: A gardener has a rectangular flowerbed, 8 m by 6 m. he added a border of uniform width. if the area of the flowerbed was increased by 72m^2, how wide was the border?

Click here to see answer by mananth(16946)

Question 800141: A point whose abscissa and ordinate are equal is square root of 10 units from (-1, -3). find the two possible points.
Click here to see answer by Alan3354(69443)

Question 800747: K is a point on a line l. How many points of l are at a distance b from K?
Click here to see answer by KMST(5328)

Question 800748: Find the coordinates of the images P, Q, R,S and T for each point under the translation defined by
(x,y) --> (x+7,y-9)
a. P(0,0)
b. Q(-2,1)
c. R(-7,-1)
d. S(7,14)
Click here to see answer by Edwin McCravy(20055)

Question 800994: A triangle has three vertices: A(3,5), B(7,1), and C(1,-1)
a)Find the equation of the perpendicular bisectors of: AB, BC, and AC
b)Find the coordinates of X, the point of intersection of the perpendicular bisector of AB and the perpendicular bisector of BC
Click here to see answer by Alan3354(69443)

Question 800995: a new lookout tower is to be equidistance from three ranger stations. If the stations are at positions A(-90,28) B(0, -35) C(125,20) find the coordinates of the point where the new tower should be built

Click here to see answer by Alan3354(69443)

Question 801621: sketch image (-3,5) for translation (x,y -4)
Click here to see answer by stanbon(75887)

Question 801796: im doing IGCSE math and im now revising the co-ordinate geometry chapter, but im not sure how to solve for average speed . for example i have a graph showing the distance travelled by a train over a two hour journey and it asks to find the average speed for "A" to "B" ...
Click here to see answer by Edwin McCravy(20055)

Question 802471: what is the length of the line segment that joins the points whose coordinates are (4,7) and (-3,5)

Click here to see answer by stanbon(75887)

Question 803363: A pipe discharges 48 litres of water per minute into a rectangular tank of length 3.2m and width 2.5m.After 30 minutes,find the height of the water in the tank.
Click here to see answer by josgarithmetic(39617)

Question 803540: The line through (2,1) and (-3,n) has a gradient of -4. Find n
Click here to see answer by MathLover1(20849)

Question 804226: Math Question Simple it is ?
John of height 1.2m is going away from the lamp post at speed of 1.5m/s.
If the lamp post is 3.9 m above the ground then the length of his shadow after 3 seconds is ?

Click here to see answer by solver91311(24713)

Question 804351: Rectangle ABCD has points A(2,3) , B(-2,-4) , C(-5,-3) and D(-9,2). What are the new coordinates of the points after the(x+2,y-5)
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Question 805963: If a bookshelves is 60 inches tall and has 3 shelves how tall is each shelf ?
Note : top and bottom of book shelf is 3/4 inches
Click here to see answer by Alan3354(69443)

Question 805963: If a bookshelves is 60 inches tall and has 3 shelves how tall is each shelf ?
Note : top and bottom of book shelf is 3/4 inches
Click here to see answer by richwmiller(17219)

Question 807009: Find the length of a segment with an endpoint of (2, 1) and a midpoint
of (�2, �1).
Click here to see answer by solver91311(24713)

Question 808001: I need your help on this question of circle from co-ordinate geometry, please help me . And my question goes on this way: Find the equation of a circle whose center is at the point of intersection of straight lines 2y-x=3 and 2x+y=4 and passing through the point (4,6).
Thank you and please answer as soon as you can.
Click here to see answer by richwmiller(17219)

Question 808119: A gloog is a unit of length. There are 3 gloogs in every foot. How many gloogs in 10 feet?
Click here to see answer by jim_thompson5910(35256)

Question 808162: Find the distance between each pair of parallel lines with the given equations y=7 and y= -1
Click here to see answer by richwmiller(17219)

Question 808178: The length of the side of a cubical box is 12cm. What is the volume (in terms of x) of the largest ball than can be placed in it?
Click here to see answer by JBarnum(2146)

Question 808161: Line l contains points (0,-2) and (6,6) Point P has coordinate (-1,5). What is the distance from P to L
Click here to see answer by JBarnum(2146)

Question 808994: How many cubic feet is in a cubic inch?
Click here to see answer by DrBeeee(684)

Question 809509: Line with slope 1/5 passes through (6,3). If the ordinate of a point on the line is 4, what is its abscissa?
Click here to see answer by TimothyLamb(4379)

Question 809653: what does it mean to find AB if A is 4 and B is 21? And how do you do this?? Thank youu.
Click here to see answer by TimothyLamb(4379)

Question 809780: Please help me solve this problem. it has to do with the length of an isosceles trapezoid.
1. An isosceles trapezoid CDEF has bases of lengths 6 and 12 and an altitude of length 4. find one of the legs CD.

At first i did then i simplified it to I just wanted to know if i was doing the problem correct.

Click here to see answer by KMST(5328)

Question 810523: find the coordinates of the other endpoint of the segment given its midpoint and one endpoint. midpoint 9,-11, endpoint 16,-7
Click here to see answer by richwmiller(17219)

Question 810648: The question asks: Find the slope of the line that passes through (2, 1) and (7, �2).
Thank You.
Click here to see answer by stanbon(75887)

Question 810648: The question asks: Find the slope of the line that passes through (2, 1) and (7, �2).
Thank You.
Click here to see answer by mananth(16946)

Question 809959: A wire is attached to the top of a 15 meter tall flagpole and forms a 42 degree angle with the ground. Approximately how long is the wire?
Click here to see answer by tommyt3rd(5050)

Question 810737: A light year is the distance light travels in 365 days. If the speed of light is 3.00 x 10^10 cm/s, calculate the length of the light year in a) meters and b) feet
Click here to see answer by Alan3354(69443)

Question 811040: what is the formula to find distance between two parallel lines?

Click here to see answer by erica65404(394)

Question 811356:
What is a if (4,7) and (a,3) are 5 units apart?
Click here to see answer by Cromlix(4381)

Question 812015: Is triangle ABC with vertices A (-1, 4), B (3, 1), and C (0,-3) a right triangle? Explain your answer.
Click here to see answer by richwmiller(17219)

Question 812473: A motorboat travels 4km downstream in 0.5 h, and travels the same distance upstream in 2 h. Determine the speed of the boat in still water.
Click here to see answer by TimothyLamb(4379)

Question 813138: Each side of a square garden is increased by three meters.
The perimeter of the new garden is 50 meters. What was the length of the original square garden?Draw a diagram and label the sides.
Click here to see answer by ankor@dixie-net.com(22740)

Question 813577: a boat takes 9 hrs to travel from A to B upstream. if river current is 3 km/hr , how long will it take to travel down stream between B and A?
Click here to see answer by ankor@dixie-net.com(22740)

Question 813875: Find the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).

Click here to see answer by ewatrrr(24785)

Question 814440: write an equation in slope intercept form for each line described
passes through (-8,1),perpendicular to y = 2x - 17
please explain how you solved
Click here to see answer by TimothyLamb(4379)

Question 814445: Find the distance between the points R(-4,1) and S(2,7)
Click here to see answer by TimothyLamb(4379)

Question 815098: A line with slope 1/5 passes through (6,3). If the abscissa of a point on the line is 11, what is the ordinate? NEED HELP. THANKS IN ADVANCE
Click here to see answer by richwmiller(17219)

Question 815147: Find the interior angles of the triangle whose vertices are at (2,0),(-7,-8) and (-2,-7).
Click here to see answer by jsmallt9(3758)

Question 814516: a picture is 20 cm by 60 cm. If it is enlarged so that its shorter side becomes 20 cm, what is the area of the resulting picture?
Click here to see answer by tommyt3rd(5050)

Question 815615: How many 2/3 cm long pieces can be cut from a 5 m length of rope
Click here to see answer by TimothyLamb(4379)

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