2006-12-13 09:28:20 · 7 answers · asked by Ricky 1 in Science & Mathematics ➔ Physics
Find the x and y distances and use the pythagorean theorem.
sqrt[(10 - 2)² + (6 - 1)²] = sqrt[8² + 5²] = sqrt[64 + 25] = sqrt89 = 9.43
2006-12-13 09:30:45 · answer #1 · answered by computerguy103 6 · 1⤊ 0⤋
You have to use the Pythagorean Theorem. Imagine a line extending horizontally from (10, 6) to (2, 6). Then imagine another line extending vertically from (2,6) to (2, 1). Finally, imagine a third line extending diagonally from (10, 6) to (2, 1). These three lines make up a right triangle, and the longest line (the hypotenuse) is the one which connects your two points. The length of that line is the distance between the points.
Now the Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. That's written A^2 + B^2 = C^2, where A and B are the lengths of the sides and C is the length of the hypotenuse.
In this case, the horizontal side is 8 units long (because it goes from x = 10 to x = 2) and the vertical side is 5 units long (because it goes from y = 6 to y = 1). 8^2 = 64, and 5^2 = 25, so the sum of the squares is 89. The square root of 89 is 9.434. So that's the distance between the two points.
Answer: 9.434
2006-12-13 09:35:03 · answer #2 · answered by Amy F 5 · 0⤊ 0⤋
The distance, d, is given by applying Pythagoras's Theorem to a triangle with side 8 parallel to the x-axis, and side 5 parallel to the y-axis.
WHY?: Just think of plotting the two points given, in an (x, y) plane.
Then d^2 = 8^2 + 5^2 = 89. The solution is:
d = 9.4340... to that number of sig. figs.
Live long and prosper.
2006-12-13 09:30:18 · answer #3 · answered by Dr Spock 6 · 0⤊ 1⤋
mom replaced into maximum impressive, yet why is it Plus? the area formula is ?[(X2 - X1)² + (Y2 - Y1)²] = ?[(4 - -6)² + (2 - -3)^2] = ?[(10)² + (5)²] = ?[100 + 25] = ?[100 twenty 5] = 5?5 Subtracting unfavorable numbers is often the reason of blunders, be careful. curiously this result isn't between the options. Did you write the options wisely?
2016-11-26 01:30:35 · answer #4 · answered by Anonymous · 0⤊ 0⤋
d=sqrt([10-2]^2 + [6-1]^2)
d=sqrt(64 + 25)
d=sqrt(89)
2006-12-13 09:30:58 · answer #5 · answered by Anonymous · 0⤊ 0⤋
ANOTHER LAZY.... GO TO LIBRARY AND READ A BOOK, DONT HURT, I PRO MESS
2006-12-13 09:32:15 · answer #6 · answered by Makiavelo333 4 · 0⤊ 1⤋
y2 - y1 / x2-x1 will give you the slope i think
2006-12-13 09:31:06 · answer #7 · answered by sleepingbeauty89123 2 · 0⤊ 1⤋