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

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Question 166149: Find the point on the y-axis that is equidistant from (5,1) and (-3,-1).
Click here to see answer by stanbon(75887) About Me 

Question 166145: The vertices of the base of an isosceles triangle are at (1,2) and (4,-1). Determine the ordinate of the third vertex it its abscissa is 6.
Click here to see answer by Mathtut(3670) About Me 

Question 166148: Show that the points (-2,5),(-2,-1) and (4,-1) all lie on a circle whose center is at (1,2). Find the length of the radius.
Click here to see answer by Mathtut(3670) About Me 

Question 166152: Find the area of the polygon whose vertices are at (1,-4),(4,-1),(4,5),(-1,4)&(-2,-1).
Click here to see answer by Fombitz(32388) About Me 

Question 166147: Find the radius of a circle with center at (4,1) if a chord of length 4 times square root of 2 is bisected at (7,4).
Click here to see answer by Edwin McCravy(20054) About Me 

Question 166473: Express by an algebraic equation the statement that the point (x,y) is at a distance 3 units from (-7,-3).
Click here to see answer by oscargut(2103) About Me 

Question 166477: The radius of a circle is 5 and its center is at (-3,-4). Find the lenght of the chord that is bisected at (-11/12, -13/12).
Click here to see answer by nerdybill(7384) About Me 

Question 166793: Two cars start at the same time from the same point and travel in opposite directions. One car travels 10 mi/h faster than the other. In 3 hours they are 300 miles apart. Find the rate of each car.
Click here to see answer by Mathtut(3670) About Me 

Question 166792: A car leaves a town traveling at 72 km/h. An hour later, a second car leaves the same town, on the same road traveling at 90 kn/h. In how many hours will the second car overtake the first?
Click here to see answer by josmiceli(19441) About Me 

Question 166796: A motorist driving 90 km/h can go from Midland to Shiloh in two hours less than a train that averages 75 km/h. How far apart are the two towns?
Click here to see answer by Earlsdon(6294) About Me 

Question 166795: two cyclists start from the same point and ride on opposite directions/ One cyclist rides twice as fast as the other. On three hours they are 90 km apart. What is the rate of each cyclist?
Click here to see answer by Mathtut(3670) About Me 

Question 167025: The difference of the areas of two squares is 75 square feet. Each side of the larger square is twice the length of the smaller square. Find the length of a side of each square.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 167146: Can somebody please help solving the below problem?
Given points P(2,1) and D(7,11). Find the coordianates of T on the line PD such that PT/TD = 2/3.

Click here to see answer by scott8148(6628) About Me 

Question 166143: the point(x,4) is a square root of 162 units from (-6,-5). What is the value of abscissa x?
Click here to see answer by jojo14344(1513) About Me 

Question 166790: A bicyclist rode up a mountain road at 12 km/h and then back down at 30 km/h. If the round trip toook 3.5 hours, how long did the ride up the mountain take?
Click here to see answer by jojo14344(1513) About Me 

Question 167516: I need an linear equation that is perpendicular to the line y=4x+5 and that passes through the point (0,-3)??
Click here to see answer by nerdybill(7384) About Me 

Question 167688: a relay team ran a 4 by 400 meter race. that was equal to how much cm?

Click here to see answer by gonzo(654) About Me 

Question 168890: find the point on the y-axis that is equidistant from (6,1) (-2,-3)
Click here to see answer by Alan3354(69443) About Me 
Question 168890: find the point on the y-axis that is equidistant from (6,1) (-2,-3)
Click here to see answer by stanbon(75887) About Me 

Question 167994: THE LENGTH OF A RECTANGULAR WAL IS 3M MORE THAN TWICE ITS HEIGHT. THE WIDTH OF A PICTURE ON THE WALL IS 1M LESS THAN THE HEIGHT OF THE WALL. THE PICTURE IS 2M LONGER THAN IT IS WIDE. FIND THE AREA OF THE WALL IF 19 M SQUARED OF THE WALL ARE NOT COVERED BY THE PICTURE?
Click here to see answer by maali40(13) About Me 

Question 169559: A moving circle is tangent to the x-axis and to a circle of radius one with center at (2,-6). Find the equation of the locus of the center of the moving circle.
Click here to see answer by Alan3354(69443) About Me 
Question 169559: A moving circle is tangent to the x-axis and to a circle of radius one with center at (2,-6). Find the equation of the locus of the center of the moving circle.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 169763: Calculate the number of gallons of paint required to paint the outside walls of a barn that measures 50 feet by 100 feet. Each wall is 12 feet high and each gallon of paint covers 600 square feet.
The answer I came up with is 8.3 which is wrong.

Click here to see answer by checkley77(12844) About Me 
Question 169763: Calculate the number of gallons of paint required to paint the outside walls of a barn that measures 50 feet by 100 feet. Each wall is 12 feet high and each gallon of paint covers 600 square feet.
The answer I came up with is 8.3 which is wrong.

Click here to see answer by Alan3354(69443) About Me 

Question 169762: At $23 per square yard, what would carpet cost for a room that measures 36 feet by 12 feet?

Click here to see answer by checkley77(12844) About Me 

Question 171107: The lengths of the three sides of a right triangle are represented by consecutive even whole numbers. Find the lengths of the three sides.
I really need help with this one, I don't know how to begin. Thank you.

Click here to see answer by Alan3354(69443) About Me 

Question 171713: How many square tiles, each with a perimeter of 12 feet must be used to completely cover a floor with a width of 9 feet and a length of 15 feet?
Click here to see answer by stanbon(75887) About Me 

Question 171843: Find the distance between the given pair of points having the given coordinates:
a) 2 and 9
b) 2.65 and 6.11
c) -5 and 11
d) square root of 3 and square root of 7
e) -5.41 and -15.62

Click here to see answer by Alan3354(69443) About Me 

Question 171836: Can you explain why a three-legged stool is often more steady than a four-legged stool?
Click here to see answer by Alan3354(69443) About Me 
Question 171836: Can you explain why a three-legged stool is often more steady than a four-legged stool?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 171836: Can you explain why a three-legged stool is often more steady than a four-legged stool?
Click here to see answer by Earlsdon(6294) About Me 

Question 172328: Write equations in slope-intercept form for two lines that contain (-1, -5).
Click here to see answer by Mathtut(3670) About Me 

Question 172645: Please double check my work to see if I did this right.
Find each of the following
84° 13' - 27° 45'
84°(60 + 13) - 27° 45'
84° 93' - 27° 45'
(84 – 27) + (93 – 45)
= 57° 48'

Click here to see answer by Alan3354(69443) About Me 

Question 172650: Please double check my work to see if I did this right
Find 6° 48' 59" + 28° 19' 36". Write your answer in simplest terms.
6° (60 + 48) (60 + 59) + 28° (60 + 19) (60 + 36)
6° 108' 119" + 28° 79' 96"
(6 + 28) + (108 + 79) + (119 + 96)
= 34° 187' 215"

Click here to see answer by Alan3354(69443) About Me 

Question 173522: What is the relationship between the number of lines and the number of kilometers on the grid?
Why was it so important to plot the originals points accrately?

Click here to see answer by midwood_trail(310) About Me 

Question 174807: how do you convert 5km in us metrics? What is the metric system for the European system? The U. S is very confusing to grasp, at least it is for me.
Click here to see answer by Alan3354(69443) About Me 
Question 174807: how do you convert 5km in us metrics? What is the metric system for the European system? The U. S is very confusing to grasp, at least it is for me.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 174815: Find all the possible coordinates for the fourth vertex of a parallelogram with the given vertices. The three coordinates are: (3,-4), (-2,-1), and (1,2).
I actually found one of the coordinates, which is (6,-1) but I'm lost after this one.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 175453: point C lies on line AB such that AC= 3/4 AB. If the endpoints of line AB are A(8,12) and B(-4,0) ,find C.

i know i have to use substitution but its been a couple months since I have had a problem like this. If you could please guide me through the steps you would be very helpful. Thank You

Click here to see answer by psbhowmick(878) About Me 

Question 175790: There are eight points, each with integer coordinates that are 10 units from the origin. List the points.
Click here to see answer by Fombitz(32388) About Me 

Question 175789: L (8,a) is 25 units from T (15,35). Find all the possible values of a.
Click here to see answer by Fombitz(32388) About Me 

Question 176130: PS is the hypotenuse of isosceles right triangle PST for P(-6,-2) and S(-6,5). Find some possible coordinates of T.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 176129: A triangle has vertices S(0,7), E(5,-6), and T(10,7). Find the length of the altitude to the shortest side.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 176129: A triangle has vertices S(0,7), E(5,-6), and T(10,7). Find the length of the altitude to the shortest side.
Click here to see answer by MathTherapy(10551) About Me 

Question 176807: we have a pipe it's leanth 1.5 meter and we have a wire it's leanth 3meter .we want that are around the pipe cover of wire how much tunr are required?
Click here to see answer by Mathtut(3670) About Me