Question

find the distance of the point (-2, -4) from the origin​

Answer 1

Answer:

-2 unites to the right, -4 units downward

Step-by-step explanation:

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Answer 2

Answer:

Find the distance between the origin and the point

(

−

8

,

15

)

.

Solution

We know that the distance between the two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

is

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Since, the origin has the coordinates

(

0

,

0

)

, thus

The given points are

(

0

,

0

)

and

(

−

8

,

15

)

and therefore,

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

=

√

(

−

8

−

0

)

2

+

(

15

−

0

)

2

=

√

(

−

8

)

2

+

15

2

=

√

64

+

225

=

√

289

=

√

17

2

=

17

Hence, the distance is

17

units.

Step-by-step explanation:

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