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Whitepunk [10]
3 years ago
10

Find the distance between these points. R(-1, 0), S(8, 6)

Mathematics
2 answers:
balandron [24]3 years ago
7 0

Answer:

The distance between these points = 3√13

Step-by-step explanation:

<u>Points to remember</u>

<u>Distance formula</u>

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

It is given two points R(-1, 0) and  S(8, 6)

<u>To find the distance</u>

Here, (x1, y1)  = (-1, 0) and (x2, y2) = (8, 6)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(8 - -1)² + (6 - 0)²]

= √[(8+1)² + (6)²]

 =√[(9)² + (6)²]

 = √[(81 + 36)]

 =√117 = √(3 * 3 * 13)

 = 3√13

The distance between these points = 3√13

pav-90 [236]3 years ago
3 0

ANSWER

d = 3 \sqrt{13}

EXPLANATION

We use the distance formula to find distance between two points.

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

The two points are R(-1, 0) and S(8, 6).

We substitute the points into the formula to get:

d =  \sqrt{(8 -  - 1)^2 +(6-0)^2}

d =  \sqrt{(9)^2 +(6)^2}

d =  \sqrt{81+36}

d =  \sqrt{117}

d = 3 \sqrt{13}

Therefore the distance between the two points is 3 \sqrt{13} units.

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