Find the distance between (0, 0) and (-3, 4) pair of points. If necessary, expre

naivlingr

naivlingr

Answered question

2021-09-09

Find the distance between (0, 0) and (-3, 4) pair of points. If needed, show answers in basic root form and then round to two decimal places.

Answer & Explanation

Clara Reese

Clara Reese

Skilled2021-09-10Added 120 answers

The given two points are, (0,0) and (-3,4)
Using distance formula, the distance between two points given as (x1,y1) and (x2,y2) is given as,
d=(x2x1)2+(y2y1)2
Putting the ponts, we get
d=(40)2+(30)2
=(4)2+(3)2
=16+9
=25
Therefore, the distance between the given two points is 25 units
On simplifying the radical form, we get
d=25
=52
=5.00
Therefore, the distance between the given two points is 5.00 units.
star233

star233

Skilled2023-06-14Added 403 answers

Answer: 5.00
Explanation:
Distance=(x2x1)2+(y2y1)2
Substituting the coordinates of the two points, we have:
Distance=(30)2+(40)2
Simplifying the expression inside the square root:
Distance=(3)2+42
Distance=9+16
Distance=25
Finally, rounding to two decimal places, we get:
Distance=5.00
Therefore, the distance between the points (0, 0) and (-3, 4) is 5.00.
karton

karton

Expert2023-06-14Added 613 answers

Step 1:
Given:
d=(x2x1)2+(y2y1)2
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, (x1, y1) = (0, 0) and (x2, y2) = (-3, 4). Substituting these values into the formula, we get:
d=(30)2+(40)2
Simplifying further:
d=(3)2+42
d=9+16
d=25
Step 2:
Now, let's express the answer in basic root form:
d=25
Finally, rounding to two decimal places, we get:
d5.00
Therefore, the distance between the points (0, 0) and (-3, 4) is approximately 5.00 units.
alenahelenash

alenahelenash

Expert2023-06-14Added 556 answers

To find the distance between the points (0, 0) and (-3, 4), we can use the distance formula. The distance formula is given by:
d=(x2x1)2+(y2y1)2 where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the given coordinates, we have:
d=(30)2+(40)2
Simplifying the equation further, we get:
d=(3)2+42
d=9+16
d=25
The distance between the points (0, 0) and (-3, 4) is 5 units.

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