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

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

Question 852261: evaluate (a + b).(a - b) if a = 2i - 3j + 5k and b = 3i + j - 2k
Click here to see answer by Edwin McCravy(20054)

Question 852450: If the distance between the points (3, b) and (-5, 2) is 10 units, then the value of b is:
Click here to see answer by Alan3354(69443)

Question 852728: Mighty Mouse(who flies at a constant speed of 1400 ft/sec) was standing next to a cannon that was pointed straight up. A cannonball was shot vertically into the air with an initial velocity of 880 ft/sec. Exactly one second after the cannon was fired, Mighty Mouse flew up to touch the bottom of the cannonball. He then immediately turned and flew back down to the touch the inside bottom of the cannon, then up to the cannonball, down into the cannon, and so on, until the cannonball fell back into the cannon's barrel.
A. What is total distance Mighty Mouse had flown when he was finally smashed by the cannonball into mouse-mush?
B. What was the total distance that the cannonball had flown?
C. When did Mighty Mouse first touch the cannonball and how high was it?
Click here to see answer by KMST(5328)

Question 853220: The point B(1,2) is one tenth of the way from the point A(-3,4) to the point P(x,y). Find x and y.
Click here to see answer by josgarithmetic(39616)

Question 853948: Hey,
I need help with this question. I can't seem to figure it. Are you able to help please.
Here is a picture of the question as I couldn't written it out in the browser
http://gyazo.com/aeb882715a433c3b7f04f6634da05d9c
Click here to see answer by josgarithmetic(39616)

Question 853946: Hey,
Here is a picture of the shape area I have to solve, I couldn't figure out the answer. Any help please?
http://gyazo.com/c33ee11de188b6194e1a3830aac03ddd
Click here to see answer by Alan3354(69443)

Question 854377: There are 4 boards measuring 3 ft 4 in, 27 inches, 1 1/2 yard, 2 3/4 feet. What is the length of all four boards
Click here to see answer by Alan3354(69443)

Question 855061: Factor:
32 q^4 x^4-162 p^4 t^4
Click here to see answer by Fombitz(32388)

Question 855087: How do you find the distance between 6miles west and 8 miles north ?

Click here to see answer by harpazo(655)

Question 856907: Viola drives 170 meters up a hill that makes an angle of 6 degrees with the horizontal. To the nearest tenth of meter, what horizontal distance has she covered? Show all your work and draw a picture.
Click here to see answer by ewatrrr(24785)

Question 858069: Point A is located at (0, 4) and point B is located at (−2, −3). Find the point that is 1 over 4 the distance from point A to point B.

Click here to see answer by Alan3354(69443)

Question 858247: I am standing in a square garden. the distance between me and the edges of the square garden are 6, 7, 9 and x meters. find x. x is an integer. thanks alot!
Click here to see answer by josgarithmetic(39616)

Question 858952: A(-3, 2) B(1, -5). Find AB to the nearest tenth.
Click here to see answer by jim_thompson5910(35256)

Question 859169: M(8, 7) is the midpoint of RS. The coordinates of S are (9, 5). What are the coordinates of R?
Click here to see answer by ewatrrr(24785)

Question 859827: find the distance from (-6,-5) to the line defined by y = -2x - 2. Express as a radical or number rounded to the nearest hundredth, is the question. can you tell me how to work this out to get the right answer and help me solve it asap please and thank you.
Click here to see answer by ewatrrr(24785)

Question 860273: An airplane flies from city 1 at (0,0) to city 2 at (33,56) and then to city 3 at (23,32). What is the total number of miles it flies? Each unit of the coordinate grid represents 1 mile. Please please please help me. If you do I thank you so so so much. :) :( ??????????????
Click here to see answer by josmiceli(19441)

Question 860287: if JL=4 KL=6 and MN=24 what is the length of LN
Click here to see answer by Alan3354(69443)

Question 860344: what is the definition or meaning of a plane?
Click here to see answer by rothauserc(4718)

Question 860669: Segment AB has point A located at (8, 9). If the distance from A to B is 10 units, which of the following is the coordinate for point B?
a. (18, 19)
b. (-2, 4)
c. (-1, -3)
d. (2, 1)
Click here to see answer by richwmiller(17219)

Question 861092: A person traevels 5 miles north, 2 miles east, 1 mile north, and finally 4 miles east. How far is the person from the starting point

Click here to see answer by ewatrrr(24785)

Question 861645: I've tried solving the problem but can't find the answer can you help please
picture to the quuestion as I couldn't draw the shape on the browser
http://gyazo.com/335c7859025b40dda120d8587b3e4608
Click here to see answer by Fombitz(32388)

Question 861997: If the endpoints of AB are A(-4,5) and B(2,-5), what is the length of AB?
Click here to see answer by richwmiller(17219)

Question 862247: Suppose the radius of a circle is equal to half the length of the side of a square. Find the ratio of the area of the circle to the area of the square
Click here to see answer by josgarithmetic(39616)

Question 862599: Find the intersection of the lines below.
5x+y=15
3x-3y=9
Click here to see answer by Fombitz(32388)

Question 862562: What is the length of the line segment with endpoints (-6,4) and (2,-5)

Click here to see answer by Fombitz(32388)

Question 862696: Determine how the plane curves differ from each other
x=t^2
y=t^4-1
Click here to see answer by Alan3354(69443)

Question 863024: Helping with homework and this one has us stumped, any help is appreciated.
The length of a rectangle is 9 cm less than twice its width. If the area of the rectangle is 11cm squared, find the dimensions of the rectangle.
Many thanks,

Click here to see answer by Alan3354(69443)

Question 863330: Point E is located at (2, −3) and point F is located at (−2, −1). Find the y value for the point that is 3 over 4 the distance from point E to point F.

Click here to see answer by ewatrrr(24785)

Question 863405: Point X is located at (2, −6) and point Z is located at (0, 5). Find the y value for the point Y that is located one over five the distance from point X to point Z.

Click here to see answer by stanbon(75887)

Question 865258: What is the distance between the points (8,5) and (2,14) (round to the nearest tenth)
Click here to see answer by rfer(16322)

Question 865825: if the sum of length and breadth of rectangle is 50 m and the area is 16 times of length. find length
Click here to see answer by josgarithmetic(39616)

Question 866209: Given the line 2x � 3y = 9 and the point (4, �1), find lines through the point that are

(a) parallel to the given line and
(b) perpendicular to it.

Click here to see answer by josgarithmetic(39616)

Question 867156: Find the coordinates of the midpoint of segment LB if L(8, 5) and B(-6, 2).
Click here to see answer by ewatrrr(24785)

Question 869357: A point has coordinates A(-3, 5). Find the coordinates of its image if it's translated by (x - 2, y + 1).

A'(-5, 6)

A'(1, 6)

A'(-1, 6)

A'(-1, 4)
Click here to see answer by jim_thompson5910(35256)

Question 869361: A point has coordinates A(-3, 5). Find the coordinates of its image if it's translated by (x - 2, y + 1).
A'(-5, 6)
A'(1, 6)
A'(-1, 6)
A'(-1, 4)
An image point has coordinates B'(7, -4). Find the coordinates of its pre-image if the translation used was (x + 4, y + 5).
B(11, 1)
B(3, 1)
B(3, -9)
B(11, -9)
Two points in a transformation are J'(-2, 5) and J(0, 4). Which of the following translations was used?
(x + 2, y - 1)
(x - 2, y + 1)
(x - 2, y - 1)
(x + 2, y + 1)
If K(3, -7) is rotated 270�, what will be the coordinates of its image?
K'(-3, 7)
K'(-7, -3)
K'(7, 3)
K'(-7, 3)
An image point after a 180� rotation is Z'(3, 7). What were the coordinates of the pre-image point?
Z(-3, -7)
Z(7, 3)
Z(-7, -3)
Z(7, -3)

Click here to see answer by mathhelper123(14)

Question 869356: the perimeter of a rectangle and square are 160 metre each. the area of rectangle is less than that of square by 100 square metre. find the length of rectangle?

Click here to see answer by lwsshak3(11628)

Question 869842: A line in the standard (x,y) coordinate plane contains the points A(-2,3) and B(10,9). What is the midpoint of line AB?
Click here to see answer by Fombitz(32388)

Question 870507: The first platform is 8 feet 2 inches off the ground. The second platform is 7 feet 6 inches above the first platform. The shadow of the first platform stretches 6 feet 3 inches across the ground.
1. Find the length of the shadow of the second platform in feet and inches to the nearest inch.
My answer is : 5 feet 9 inches
2. A 5 foot 8 inch tall technician is standing on top of the second platform. Find the length of the
shadow the scaffold and technician cast in feet and inches to the nearest inch.
I am having trouble answering number 2. Can you please help me figure this answer out. Thank you.... Kay

Click here to see answer by mananth(16946)

Question 870512: Megan drove her car 7 miles north, then made a left turn and drove 3 miles west. How far is she, in a straight line, from her starting point.
Click here to see answer by JulietG(1812)

Question 870719: point m is located at (-1,3) and point n is located at (3,9) Find the midpoint of line segment MN
Click here to see answer by Fombitz(32388)

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