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A point P is at a distance of square root 10 units from the point 4 and 3 Find the coordinates of the point P if its ordinate is twice of its abscissa?
Wiki User
∙ 14y ago
'P' located at the point (x,y), and y = 2x. (ordinate = abcissa x 2) Distance of 'P' from (4,3) is square root of 10. (Distance)2 of 'P' from (4,3) is 10. ( x - 4 )2 + ( y - 3 )2 = 10 x2 - 8x + 16 + y2 - 6y + 9 = 10 x2 - 8x + y2 - 6y + 15 = 0 But y = 2x, so x2 - 8x +(2x)2 -6(2x) +15 = 0 5x2 - 20x + 15 = 0 ===> x2 - 4x + 3 = 0 ( x - 3 )( x - 1 ) = 0 x = 3 and x = 1 y = 6 and y = 2 The point 'P' can be either (3,6) or (1,2). Both points satisfy the given conditions.
Wiki User
∙ 14y ago
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What is the distance between the points -2 5 and 3 -4?
In order to find the distance between two coordinates, you first need to find the difference between the x and y coordinates. In this case, the difference between the x coordinates is 3-(-2) = 5. The difference between the y coordinates is -4-5 = -9. To find the distance you add up the squares of these differences then find the square root. 52 = 25. -92 = 81. 25+81 = 106. Thus the distance is the square root of 106, or approximately 10.296
What are the coordinates of a square?
2,1 6,1 2,5 and
The coordinates of A and B are 27 square root and 15 square root respectively Find AB?
It takes two coordinates to locate one point, but you've given only two numbers to locate two points. The distance between them can't be calculated with the information given, because the points can't be identified.
The coordinates of a and b are square root of 27 and square root of 15 reapectively find ab?
Find ab
What is the formula used to calculate DISTANCE?
1 The formula for calculating distance between two points is: d = √[(x₂ - x₁)² + (y₂ - y₁)²] Where: d is the distance between the two points. x₁ and x₂ are the x-coordinates of the two points. y₁ and y₂ are the y-coordinates of the two points. The formula is based on the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the distance between the two points is the hypotenuse of the right triangle formed by the two points and the x- and y-axes. For example, if the x-coordinates of the two points are 1 and 3, and the y-coordinates of the two points are 2 and 4, then the distance between the two points is: d = √[(3 - 1)² + (4 - 2)²] = √(4 + 4) = √8 = 2√2 The distance between the two points is 2√2 units. The formula for calculating distance can be used to find the distance between any two points, regardless of their coordinates. It can be used to find the distance between two cities, two countries, or two planets. It can also be used to find the distance between two objects in a physical model, such as a scale model of a city. The distance formula is a simple but powerful tool that can be used to measure distances in a variety of contexts.
How do you solve for the abscissa in a unit circle if the ordinate is given?
abscissa = sqrt[1 - square of the ordinate]
What is the distance between the two points in simplest radical form?
The distance between two points is Square root of [ (difference in their 'x' coordinates)2 + (difference in their 'y' coordinates)2 ]
Formula to find distance in co-ordinate geometry?
D=(x2-x1)2 + (y2-y1)2then square root the number that you get
What is the formula for the distance between two coordinates on a grid?
Distance= The Square Root of: (x1- X2)2 + (Y1- Y2)2
What is the distance between the points -2 5 and 3 -4?
In order to find the distance between two coordinates, you first need to find the difference between the x and y coordinates. In this case, the difference between the x coordinates is 3-(-2) = 5. The difference between the y coordinates is -4-5 = -9. To find the distance you add up the squares of these differences then find the square root. 52 = 25. -92 = 81. 25+81 = 106. Thus the distance is the square root of 106, or approximately 10.296
What is the distance between 5 -2 and 10 5?
Please use the Pythagoran property: calculate the square root of ((difference in x-coordinates)2 + (difference in y-coordinates)2).
How do you find the distance between two coordinates in geometry?
square root(x2-x1)squared+(y2-y1)squared
What is the distance between -7 5 and -6 -4?
The idea is to use the Pythagorean theorem: take the square root of (square of the difference in x-coordinates + square of the difference in y-coordiantes).
How many quadrants are there on a square coordinate system?
There are four quadrants in a square co-ordinate system.
Find the distance between the points -10 8 and -2 -7?
Use Pythagoras' Theorem: calculate the square root of ((difference of x-coordinates)2 + (difference of y-coordinates)2).
What is the formula of converting co ordinates to distance?
It is the square root of: (x1-x2)2+(y1-y2)2 for a given pair of coordinates
How would you find the distance between two points if the line segment that connects them were horizontal?
Subtract the x-coordinates of the points and take the absolute value. Using the Pythagorean Theorem, the y-value would be zero, and the distance the square root of its own square.
