Math

posted by .

In class we started operation with radicals

how would you answer a question like this

determine the length of the line segment from A(-2,7), to B (4,1)?

• Math -

sqrt [ ( x 2 - x 1 ) ^ 2 + ( y 2 - y 1 ) ^ 2 ]

L = sqrt [ ( 4 - ( - 2 ) ) ^ 2 + ( 1 - 7 ) ^ 2 ]

L = sqrt [ ( 4 + 2 ) ^ 2 + ( 1 - 7 ) ^ 2 ]

L = sqrt [ 6 ^ 2 + ( - 6) ^ 2 ]

L = sqrt ( 36 + 36 )

L = sqrt ( 72 )

L = sqrt ( 4 * 9 * 2 )

( Remark : sqrt ( 4 ) = 2 ; sqrt ( 9 ) = 3 )

L = 2 * 3 * sqrt ( 2 )

L = 6 sqrt ( 2 )

Similar Questions

1. Geometry question

On a number line, the coordinates of A, B, C, and D are -5, -2, 0, and 3 respectively. How do I find the length of each segment?
2. Geometry

Yes, I'm this desperate. I just have problems with coming up with the statements for two column proofs. Answers would be appreciated. Given: line segment AX congruent to line segment DX, line segment XB is congruent to XC. Prove: Line …
3. Math( help please ! )

In class we learnt operation with radicals how would you answer a question like this determine the length of the line segment from A(-2,7), to B (4,1)?
4. geometry

How would you write that line segment PK has equal length with line segment OQ?
5. Geometry

Triangles ABC and DEF are congruent. The length of the line segment AB is 5 yards, the length of the line segment BC is 7 yards, and the length of the line segment CA is 9 yards.
6. maths

the line passes through the points s(6,6) and T(0,-2) determine the gradient of the line the equation of the line the midpoint of the line segment,TS the length of the line segment,TS
7. Pre-Calculus

Hi! I have three questions that I need checked over just to make sure I understand it. Thanks! :) 1.) What is the slope of the line that passes through (5, 8) and (-2, 6)?