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

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

Question 1122298: Find the radii and coordinates of the center of the circles: (i) x^2 + y^2 - 10 = 0 (ii) 36x^2 + 36y^2 - 24x - 36y - 23 = o
Click here to see answer by Boreal(15235)

Question 1122407: What is another name for the rate of change?
Click here to see answer by Alan3354(69443)

Question 1122727: Use the Distance Formula to find the distance, to the nearest tenth, between K(-7,-4) and L(-2,0).
Click here to see answer by josgarithmetic(39613)

Question 1122728: Verify that P = (1, -1) is the same distance from A = (5, 1) as it is from B = (-1, 3). Find three more points that are equidistant from A and B. Can points equidistant from A and B be found in every quadrant?
Click here to see answer by greenestamps(13195)

Question 1122853: Decide whether perimeter or area would be used to find the quantity of barbed wire needed for a cattle form is it area or perimeter
Click here to see answer by addingup(3677)

Question 1122973: a line segment on a number line has its endpoints at -9 and 6. find the coordinate of the midpoint
Click here to see answer by josgarithmetic(39613)

Question 1123001: Two cars start at the same point and travel in opposite directions. The first car travels 10 miles per hour faster than the second car. In 3 hours, the cars are 270 miles apart. What is the rate of the second car?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1123235:
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Question 1124595: Determine the equation of the line that passes through P(1,2), and is equidistant to M(2,3) and N(4,-5).
Click here to see answer by Alan3354(69443)

Question 1124595: Determine the equation of the line that passes through P(1,2), and is equidistant to M(2,3) and N(4,-5).
Click here to see answer by ikleyn(52754)

Question 1124596: A tangent line only touches the circle at one point, and is perpendicular to the line that connects the centre of the circle and the touching point. For circle x^2 + y^2 = 5, determine the equation of the tangent line that passes through M(2,1).
Click here to see answer by Alan3354(69443)

Question 1124635: a ladder is placed vertically against the wall. a man standing 18m away from the foot of the ladder with his eye marking an angle of elevation of 290 degrees at the top of the ladder. tbe ladder's height is
Click here to see answer by josgarithmetic(39613)

Question 1124691: Find the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0.

Click here to see answer by Alan3354(69443)

Question 1124695: Find the value of k for which the segment with endpoints (2.1, 3.3) and (k, −3.2) is parallel to the segment with endpoints (−1, −2) and (1, 3).

Click here to see answer by Boreal(15235)

Question 1124694: A and B are points on a line that has the slope �3. The abscissa of B exceeds the abscissa of A by 2. State the relationship of the ordinate of B to the ordinate of A.

Click here to see answer by solver91311(24713)

Question 1124800: You need a 65% alcohol solution. On hand, you have a 385 mL of a 60% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution?

Click here to see answer by josmiceli(19441)

Question 1124798: A candy distributor needs to mix a 30% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 57% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Click here to see answer by josgarithmetic(39613)

Question 1124799: You need a 35% alcohol solution. On hand, you have a 350 mL of a 30% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?

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Question 1124797: Jenna rides her bike then the bus and finally the train to visit her brother. She rides her bike at 5 mph. The bus travels at 30 mph while the train carries her at 68 mph. She rides the train for 1 hour 57 minutes less than she rides the bus. She traveled 146 miles in 6 hours 15 minutes. How long was she riding her bike and reading on the bus?

Click here to see answer by josgarithmetic(39613)

Question 1124796: Karen rides her bike then the bus and finally the train to visit her aunt. She rides her bike at 14 mph. The bus travels at 38 mph while the train carries her at 110 mph. She rides the train for 36 minutes longer than she rides the bus. She traveled 175 miles in 4 hours 6 minutes. How long was she riding her bike and reading on the bus?
Click here to see answer by josgarithmetic(39613)

Question 1124854: If the perimeter of a legal size note pad is 45 inches and the pad is 5.5 inches longer than it is wide than what are its lengths and width
Click here to see answer by josgarithmetic(39613)

Question 1125454: A rectangular container is 71 cm long and 66 cm wide.
It contains 60 litres of ink when it is 40% full.
Find the height of the container.
(Round your answer to 2 decimal places if necessary.)
Click here to see answer by ikleyn(52754)

Question 1125453: Find the length of the edge of the cube below, knowing that its volume is 125 cm�.

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Question 1125712: Write the equation of the perpendicular bisector of the line segment with endpoints (-4,1) and (4,-3)
Click here to see answer by MathLover1(20849)

Question 1125718: Find the distance from the point (6,0) to the line y=x-4
Click here to see answer by josgarithmetic(39613)

Question 1125727: Write the equation of the line passing through the point (3,2) that is perpendicular to 2y+x=2
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Question 1125986: top side: 4x-6 right side: y-6 left side: 2y-14 bottom side: 2y-14.
Please find x and y
Click here to see answer by Alan3354(69443)

Question 1126110: a rectangle ABCD has a length (AD) of 6 units and a width (AB) of 5 units. Point D is the ordered pair 7,3 Find the coordinates of A,B, and C

Click here to see answer by Boreal(15235)

Question 1126196: Find the two digit prime number that is in the middle of the distance between the nearest prime number less than it, and the nearest prime number greater than it.
Click here to see answer by ikleyn(52754)

Question 1126504: Write the equation of a line that is perpendicular to y=5,and that passes through the point (-7,-5)
Click here to see answer by josmiceli(19441)

Question 1126655: A cyclist travels from town X to town Y at an average speed of 10km/hr and then travels back to town X at an average speed of 10.5km/hr. If the total time for the journey is 1�hrs and the speed is constant in each direction, find correct to one decimal place XY.
Click here to see answer by josgarithmetic(39613)

Question 1126686: The points P(2,-3), Q (3,-2) and R (8,z) are collinear, i.e they lie on a straight line. Find the value of z. (give solution not graph)
Click here to see answer by josgarithmetic(39613)

Question 1126775: The points P(2,-3), Q (3,-2) and R (8,z) are collinear, i.e they lie on a straight line. Find the value of z. (give solution not graph and kindly explain)
Click here to see answer by josgarithmetic(39613)

Question 1126779: the coordinates of the vertices of a square ABCD are A(0,6) B (2,1) C (7,3) D (5,8)
i) find the gradient of all four sides of ABCD
ii) what do you observe about the gradients of the opposite sides of a square ?
Click here to see answer by josmiceli(19441)

Question 1127041: Trina's boat travels 20 km/h in still water. A river has a current that flows at a rate of 5 km/h. Trina travels in her boat downstream for 1 km and then returns to her starting point. Her average rate, in km, is....?
I keep on getting 25km/h as the answer. I know it's wrong, but I don't know what I'm doing wrong. Thanks for helping.
Click here to see answer by josgarithmetic(39613)

Question 1127252: A finishing carpenter is working on a partial home
renovation project, and the homeowner has asked
the carpenter how much it would cost to replace
the baseboards in the bathroom. The floor plan of
the bathroom is shown on the right. The carpenter
bills his time at a rate of $45.00/h and he charges a
markup of 15% on materials. Baseboard costs $6.50
a linear foot and the carpenter estimates it will take
him two-and-a-half hours. How much does he tell
the homeowner it will cost? List any assumptions you
made in your calculations.
Click here to see answer by ikleyn(52754)

Question 1127251: A finishing carpenter is working on a partial home
renovation project, and the homeowner has asked
the carpenter how much it would cost to replace
the baseboards in the bathroom. The floor plan of
the bathroom is shown on the right. The carpenter
bills his time at a rate of $45.00/h and he charges a
markup of 15% on materials. Baseboard costs $6.50
a linear foot and the carpenter estimates it will take
him two-and-a-half hours. How much does he tell
the homeowner it will cost? List any assumptions you
made in your calculations.

Click here to see answer by ikleyn(52754)

Question 1127556: The coordinates of A are(-3,2) And the coordinates of C are(5,6) .The midpoint of AC is M and the perpendicular bisector of AC cuts the x-axis at B.
Given that ABCD is a square,find the coordinates of D and the length of AD.
Click here to see answer by greenestamps(13195)

Question 1127555: The point A has coordinates (-1,5) and the point B has coordinates(7,1) .The perpendicular bisector of AB meets x-axis at C and y-axis at D .Calculate the length of CD.

Click here to see answer by greenestamps(13195)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635