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

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Question 1009073: The interval PQ is divided into four equal lengths at R, S, T. What are the co-ordinates of R.
Click here to see answer by fractalier(6550)

Question 1009372: What is the length of the line with a slope of 4/3
from a point (6, 4) to the y-axis?
Click here to see answer by MathLover1(20849)

Question 1009502: Add the difference between 7 and 8,the product of 5 and 6 and the sum of 8 and9
Click here to see answer by fractalier(6550)

Question 1009644: Elly's room measures 78 inches by 96 inches. Sarah's room measures 66 inches by 108 inches. They want to combine their rooms. How large will the new room be?
Click here to see answer by macston(5194)

Question 1009641: Manuel is making a kite. he cuts out a piece of cloth in the shape of a diamond He uses two sticks as supports. The vertical stick is 90 cm long, and the horizontal stick is 80 cm long. They intersect at a right angle 60 cm from the bottom of the vertical stick. The vertical stick bisects the horizontal stick. Manuel wants to add a border around the perimeter of the kite. What is the length of material Manuel with need for the border? Show work and round to the nearest centimeter.
Click here to see answer by addingup(3677)

Question 1009727: Write the standard form of a line through (-1,4) and (-5,2)
Click here to see answer by josgarithmetic(39617)

Question 1010002: Find two values of k such that the points (-3,4), (0,k), and (k,10) are collinear.
Click here to see answer by stanbon(75887)

Question 1010002: Find two values of k such that the points (-3,4), (0,k), and (k,10) are collinear.
Click here to see answer by MathLover1(20849)

Question 1010001: Find the coordinates of the point that is equidistant from (-2,5), (8,5), and (6,7).
Click here to see answer by stanbon(75887)

Question 1010001: Find the coordinates of the point that is equidistant from (-2,5), (8,5), and (6,7).
Click here to see answer by KMST(5328)

Question 1010143: To the nearest tenth of an inch, find the length of a diagonal of a square whose side length is 8 inches.
Click here to see answer by addingup(3677)

Question 1010049: point r is located at the origin. point s is located at (20,0). point t is the midpoint of segment rs. point u is the midpoint of segment ts. find the distance of rt + us.
Click here to see answer by josgarithmetic(39617)

Question 1010351: Hi, I'm new to this so I'm not sure if this is in the right section.
Find the distance between each set of parallel lines.
y=2x-3 and 2x-y = -4
Click here to see answer by josmiceli(19441)

Question 1010353: I have another question, but I forgot to put it in my old post.
Find the distance between each set of parallel lines:
y=-3/4x -1 and 3x + 4y = 20
Click here to see answer by josgarithmetic(39617)

Question 1010406: two vertices of an equilateral triangle are (7,1) and
(2,1).what is the abscissa of the third vertex?
Click here to see answer by ikleyn(52781)

Question 1010525: Given points P(2, 1) and D(7, 11), find the coordinates of a point T on segment PD such that PT/TD = 2/3
Click here to see answer by stanbon(75887)

Question 1010787: A line segment is drawn on a coordinate plane with endpoints r(-10,-4) and s(10,11). point t(-2,2) is also on rs. What is the ratio Of the length of rt to the length of ts ?
Click here to see answer by Boreal(15235)

Question 1011002: The area of square X is 16 and the area of square Y is 9. What is the length of a side of square Z?

Click here to see answer by fractalier(6550)

Question 1011113: Question 1:
Sam has some quarters,nickels and dimes.He has 4 more quarters than dimes and 3 more dimes than nickels.If n represents the number of nickels he has,which of the following represents in cents the total value of all his coins
a 40n + 205
b 40n + 130
c 40n + 7
d 7n +130
e 3n + 10
Click here to see answer by MathLover1(20849)

Question 1011268: Given A(-3,2), B(-1,4) and C(1,-2), find the area of triangle ABC.
Please have clear steps and working out thanks!
Click here to see answer by solver91311(24713)

Question 1011268: Given A(-3,2), B(-1,4) and C(1,-2), find the area of triangle ABC.
Please have clear steps and working out thanks!
Click here to see answer by Boreal(15235)

Question 1011362: unit of measurement, a punk/disco band, played a benefit concert for New Year's Eve. Tehy started at 6:00 p.m. on new year's eve and managed to play until 9:30 a.m. the following morning. What is the order of magnitude of the total number of seconds they played?
Click here to see answer by josmiceli(19441)

Question 1011415: The vertices of a triangle are (1,k), (4,-3) and (-9,7). If the area of triangle is 15 Sq. units, then find the value(s) of k.
Click here to see answer by MathLover1(20849)

Question 1011414: The line joining the points (2,1) and (5,-8) is trisectedat the points P and Q. If the point P lies on the line 2x-y+k=0, find the value of k.
Click here to see answer by josgarithmetic(39617)

Question 1011413: Find the coordinates of point P on AB such that PA/PB=3/4,where A(3,1) and B(-2,5).
Click here to see answer by Alan3354(69443)

Question 1011418: After a drought, a village landlord decided to open the greenery for the villages. The distribution pattern was that in a family the youngest member get 2kg and in older to age member younger to him 1.5 more.
1- If a family received 87.5kg. How many members of their family.
2- What values are shown in the question?

Click here to see answer by ikleyn(52781)

Question 1011570: Segment JK is exactly 15 units long. Point J is located at (10,-8). Point K is located in quadrant 2 and is one unit above the x-axis. What are the coordinates of point K? (May someone help me please and thank you)
* this is what I did before I confused myself:
After you add them together you have to find the square root, the square is the distance.(d stands for distance) I couldn't get the square root symbol I'm sorry.

d=15. 15=(x2-10)�+(y2-(-8))�
15=(x2-10)�+(9)�
15=(x2-10)�+(9)�
15=(x2-10)�+81
Click here to see answer by josmiceli(19441)

Question 1011199: Show that the curvature of the polar curver=f(θ) is
κ=|2[f^' (θ)]^2-f(θ) f^'' (θ)+[f(θ)]^2 |/{[f^' (θ)]^2+[f(θ)]^2 }^(3/2) �
unless f(θ_0 ) and f^' (θ_0 ) are both zero.

Click here to see answer by ikleyn(52781)

Question 1011654: A line segment has a total rise of 4 units and a total run of 3 units. What is the distance between the e points of the line segments?
And I got :
Slope=4/3
Click here to see answer by Cromlix(4381)

Question 1011677: A line segment has a total rise of 16 units and a total run of 12 units. What is the distance between the e points of the line segments?
And I got :
Slope=16/12➡4/3

Click here to see answer by Alan3354(69443)

Question 1011970: A diagonal of a rectangle determines a 30 degree angle with a longer side of the rectangle. If the sum of the lengths of the diagonals is 14 in., how long is a short side of the rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1011981: I'm going 65km / h passing a vehicle going 50km / h, I have 300 meters 2 pass the vehicle? Once I've passed him I only have 60 meters 2 come 2 a stop, will I stop on time? Will I have 2 brake fast n hard?
Second: same question but going 40km to 45km passing vehicle going 35km to 40km in 300 meters? Once passed 60 meters to come 2 a stop, will I stop on time? With a gentle brake?

Click here to see answer by Alan3354(69443)

Question 1012215: Given points A (-4,-3) and B (1,9) find line AB and |AB| (i.e. Vector AB and Magnitude of AB)
Click here to see answer by josgarithmetic(39617)

Question 1012222: Determine the equation in standard form, of the perpendicular bisector of the segment joining points (-2, -4) and (4, 8).
Click here to see answer by josgarithmetic(39617)

Question 1012221: The vectors (-4, 10) and (k, 14) are perpendicular. Find the value of k.
Click here to see answer by josgarithmetic(39617)

Question 1012231: What is the equation of the line which: a) passes through the point (2, -7) and is parallel to y = 2; and b) passes through the point (-1, 2), and is parallel to the line x = 1
Click here to see answer by ValorousDawn(53)

Question 1012233: What is the equation of the line which: a) passes through the point (2, -7) and is parallel to y = 2; and b) passes through the point (-1, 2), and is parallel to the line x = 1
Click here to see answer by Edwin McCravy(20055)

Question 1012253: Points P,Q,R and S in that order which divides the line segment joining points A(2,5) and B(7,-5) in five equal parts. Find the coordinates of P,Q,R and S.
Click here to see answer by Edwin McCravy(20055)

Question 1012219: What is the equation of the line which: a) passes through the point (2, -7) and is parallel to y = 2; and b) passes through the point (-1, 2), and is parallel to the line x = 1.
Click here to see answer by macston(5194)

Question 1012220: Given triangle AMY with vertices A (-1, -1), M (4, -4) and Y (1, 1) using coordinate geometry, determine whether it is a scalene, isosceles, or equilateral triangle, and, if it isn�t scalene, identify the congruent sides.
Click here to see answer by Edwin McCravy(20055)

Question 1012230: Given Triangle AMY with vertices A (-1, -1), M (4, -4) and Y (1, 1) using coordinate geometry, determine whether it is a scalene, isosceles, or equilateral triangle, and, if it isn�t scalene, identify the congruent sides.
Click here to see answer by ikleyn(52781)

Question 1012229: Using coordinate geometry, draw a rectangle on the coordinate system on the right, label each vertex, and show that the diagonals bisect each other.
Click here to see answer by ikleyn(52781)

Question 1012227: Using coordinate geometry, draw a rectangle on the coordinate system on the right, label each vertex, and show that the diagonals bisect each other.
Click here to see answer by ikleyn(52781)

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