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

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

Question 939411: A trapezoid has an area of 360m^2 and an altitude of 20m. Its two bases have ratio 4:5. What are the lengths of the shorter bases ?
Click here to see answer by MathLover1(20849)

Question 939426: I am a special education teacher new to 5th grade math and need to verify that I am teaching the following correctly (please help!):
If a point is 5 units from the x-axis and 2 units from the y-axis, is the ordered pair going to be (5,2) or (2,5)?
My understanding is that the entire horizontal line is the x-axis and the point (0,0) is the origin, so if a point is a number of units FROM the x-axis, wouldn't you begin at the x-axis and count up? Or, is it beginning at the ORIGIN of the x-axis and counting that many units along the x-axis/horizontal line? THANKS :)
Click here to see answer by MathLover1(20849)

Question 939451: If the length of each side of a square is decreased by 10%, how much percent will the area of the square decrease?
Click here to see answer by ewatrrr(24785)

Question 939621: The length of a rectangular hall is 5 metres more than its breadth. The area of the hall is 750 metre square. The length of the hall is-
Click here to see answer by laoman(51)

Question 940782: a. Find the slope of the line through points A and B.
b. Find the midpoint of segment AB.
a is (-3,3)
b is (3,-1)
Click here to see answer by Alan3354(69443)

Question 942849: the points A(3,2) and B(2,-3) are equidistant from a point P(x,y). find the relation beween x and y.
Click here to see answer by josgarithmetic(39614)

Question 942892: A board that is 12 feet long must be cut into two pieces that have lengths in a ratio of 3 to 2. Find the length of the 2 pieces.
ratio 3:2
3/2 = 12/x answer would be 3x = 24 = x = 8. So the sides would be 8 & 4 but the ratio is 2:1, not 3:2...
Click here to see answer by macston(5194)

Question 943172: draw the graph of the given equations:
y=x
Click here to see answer by Edwin McCravy(20054)

Question 943172: draw the graph of the given equations:
y=x
Click here to see answer by macston(5194)

Question 943382: the coordinates of vertices X and Y of an equilateral XYZ are (-4,0) and (4,0), respectively. the coordinates of Z may be what?

I would like step-by-step process how you did this problem. thank you very much.
Click here to see answer by reviewermath(1029)

Question 943748: given pointP(-3,5),S(1,-2),R(5,6)&Q(5,1)find the gradient of PQ & RS
Click here to see answer by stanbon(75887)

Question 943747: given 2points P(-3,5)Q(5,1)find the length of PQ
Click here to see answer by stanbon(75887)

Question 943745: given the point P(-3,5),Q(5,1),S(1,-2),R(5,6)find the coordinates of the mid_point of PQ
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Question 944772: A man walked north 119 feet and then west 120 feet. Find the shortest distance between the start and end points
Click here to see answer by Fombitz(32388)

Question 944772: A man walked north 119 feet and then west 120 feet. Find the shortest distance between the start and end points
Click here to see answer by macston(5194)

Question 944968: Brandon hikes 7 miles south and 4 miles west. How far is he from the starting point of his hike?
Click here to see answer by macston(5194)

Question 945024: A rectangle has coordinates A(-4, 3), B(0, 0), C(6, 8), and D(2, 11). What is the area of the rectangle?
Click here to see answer by Fombitz(32388)

Question 944734: the line x+3y=1 intersects the curve 5y=20-3x-x^2 at point P & Q. calculae the length of PQ
Click here to see answer by Fombitz(32388)

Question 945235: If the line segment is 10 and one endpoint is at the point (0,7) identify each ordered pair that could represent the other endpoint of the segment.
Click here to see answer by macston(5194)

Question 945266: a board that is 12 feet long must be cut into 2 pieces that have lengths in a ratio of 3 to 2. Find the lengths of the 2 pieces
Please help me
Click here to see answer by macston(5194)

Question 946377: Suppose the ordered pair (a,b) is on the graph of -10x+2y=0. Express the distance between the ordered pairs (2,3) and (a,b) in terms of a.
Click here to see answer by josgarithmetic(39614)

Question 946454: Segment AB has endpoints A(5,10) and B(-3,7). If the segment is extended 5 times its original length, what are the coordinates of the new end points?
Click here to see answer by Fombitz(32388)

Question 946722: Find all points (x,y) where x-4y=0 and (x,y) is 3 units from (-3,2).
I'm just completely lost on where to start.
Thank you in advance for your help!
Click here to see answer by josgarithmetic(39614)

Question 946733: How can I can find the length of a segment with Arc Measures?
I am really stumped on this problem, I cant figure it out and it's making me rip my hair out!
It is a circle, it has 2 segments A to B and B to C.
B and C both conjoin/meet at A.
the Length of AB is (2x).
The length of BC is (x+5)
The Arc Measure of A to B is 105 as is B to C (BC is the part that I solved)
The Arc Measure of AC is 150.
How would I solve this using those? I dont understand this.... and my book explains this so poorly that even my tutor can NOT understand what they are saying.
Any help in understanding this would be fantastic.
Click here to see answer by Fombitz(32388)

Question 947127: A(t,3t),B(tt,2t),C(t-2t) and D(1,1) are four distinct points. If AB is parallel to CD, find the possible values of t.
Click here to see answer by Fombitz(32388)

Question 948196: The line segment joining A(1,3) and B(-2,-1) is extended through each end by a distance equal to its original length. find the coordinates of the new endpoints
Click here to see answer by josgarithmetic(39614)

Question 948768: A 65-foot board is to be cut into two pieces whose lengths are in the ratio of 6 to 7. Find the lengths of the two pieces.
Click here to see answer by Fombitz(32388)

Question 948911: The area of a triangle is 578 the base is 4 times the length of its height. Find the base and and height of the triangle.
Click here to see answer by Zucchini(70)

Question 949147: Show that the points (-1,-2)(5,4)(-3,0) are vertices of a right triangle, and find its area. Sketch the triangle.
Click here to see answer by Fombitz(32388)

Question 949493: A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 110 feet?
Click here to see answer by Zucchini(70)

Question 949464: what is the length of a line segment whose endpoints have coordinates (5,3) and (1,6)?
Click here to see answer by macston(5194)

Question 950791: I need to find the point that is equidistant from (2,6) (-3,1) (8,-6). And I request that you use only formulas instead of drawing graphs. Thank you :)
Click here to see answer by Fombitz(32388)

Question 951631: flying against the wind, a jet travels 2520 km in 4 hours. Flying with the wind, the same jet travels 6960 km in 8 hours. what is the rate of the jet in still air and what is the rate of the wind.
answer format
rate in still air ___ km h
rate of the wind ___ km h
Click here to see answer by Alan3354(69443)

Question 952166: Find the distance of line AB if A(3, 5)and B(-3,-3)?

Click here to see answer by Alan3354(69443)

Question 952844: if the sides of a triangle are 20, 13, x, what is the range of the possible values of x
Click here to see answer by macston(5194)

Question 952844: if the sides of a triangle are 20, 13, x, what is the range of the possible values of x
Click here to see answer by Alan3354(69443)

Question 952842: what is the equation of the altitude perpendicular to the horizontal side of the triangle formed by the points (2,-2) (8,-3) (12,-2)
Click here to see answer by josgarithmetic(39614)

Question 952884: Find the point that is two-thirds of the way from (2, 3) to (5, 9). Note
this means it is closer to (5, 9).

Need help with this one, I used the distance formula, and multiplied the answer by 2/3. What's next?
Thank you
Click here to see answer by josgarithmetic(39614)

Question 953387: In what ratio does line x-y-2=0 divide line segment joining the points (3,-1) and (8,9). Please help asap as i have my board maths exams on Monday
Click here to see answer by Fombitz(32388)

Question 954066: if a 20ft ladder is leaned against the top of a 12ft wall, how far is the base of the ladder from the wall?

Click here to see answer by Alan3354(69443)

Question 954081: Hi,I am 195 cm , how many cm do you think each step i take is in average when i take a fast walk in the forest? I know its individual depending how long legs i have and so on, but if you could give me an answer , it doesnt have to be precise i would apprisiate it! A lot!
Thanks , Michael
Click here to see answer by Alan3354(69443)

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