What is the length of segment XY?

Mathematics

2 answers:

Brilliant_brown [7]4 years ago

6 0

Answer:

StartRoot 53 EndRoot units

XY = √53

Step-by-step explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0) x₁ = –4 y₁ = 0

Point 2 (3, 2) x₂ = 3 y₂ = 2

Use the formula for the distance between two points.

$L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

$XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}$

$XY = \sqrt{49 + 4}$

$XY = \sqrt{53}$

Therefore the line of segment XY is √53.

lisabon 2012 [21]4 years ago

3 0

Answer:

sqr root 53

Step-by-step explanation:

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Find the midpoint of the segment with endpoints (-3,4) and (7,10)

jasenka [17]

Answer:

(2,7)

Step-by-step explanation:

To find the midpoint, you need to plug the 2 points in to the midpoint formula.

$( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )$ . You are basically adding the x values and divided the sum by 2 and doing the same for the y values. To find the x value of the midpoint, you add -3 and 7 which gets you 4, then you divide by 2 which is 2. To find the y value of the midpoint you, you add 4 and 10 which gets you 14, then you divide by 2 which gets you 7. So your mid point is (2,7).