Question

Find the distance between the two points. Round to the nearest tenth if necessary. (2, 5) and (–1, –5)

Answer 1

Answer:

The distance between the two points (2, 5) and (–1, –5) is 10.44 units .

Step-by-step explanation:

Formula

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

As the points are (2, 5) and (–1, –5).

$Distance = \sqrt{(-1 - 2)^{2} +(-5 -5)^{2}}$

$Distance = \sqrt{(-3)^{2} +(-10)^{2}}$

$Distance = \sqrt{9 + 100}$

$Distance = \sqrt{109}$

$\sqrt{109} = 10.44$

Distance = 10.44 units (Approx)

Therefore the distance between the two points (2, 5) and (–1, –5) is 10.44 units .

Answer 2

D = $\sqrt{(2-(-1)) ^{2} +(5-(-5)) ^{2} } = \sqrt{(2+1) ^{2} +(5+5) ^{2} } = \\ \sqrt{ 3^{2}+ 5^{2} }= \sqrt{9+100}= \sqrt{109}$
d = 10.44 ≈ 10.4
Answer: The distance between two points is 10.4