Question

the distance between point (-6,8)and the origin is​

Answer 1

Distance between (-6, 8) and origin (0,0) is

$\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }$

$\sqrt{(0 + 6) ^{2} + (0 - 8) ^{2} }$

$\sqrt{36 + 64}$

$\sqrt{100}$

$10$

hope it helps..

Answer 2

Step-by-step explanation:

Given:

Points (0, 0) and (-6, 8).

To find:

the distance between the two = ?

Solution:

The formula to find the distance between two points is as follows:

Distance AB = √[(x₂ - x₁)² + (y² - y₁)²

Where, we have to put

x¹ = 0

x₂ = -6

y₁ = 0

y₂ = 8

Now, substituting the value in distance formulae, we get

AB = √[{(0 - (-6)}² + (0 - 8)²]

AB = √[(-6)² + (8)²]

AB = √(36 + 64)

AB = √(100)

AB = 10 unit

Hence, the distance between the two points AB = 10 unit.