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katen-ka-za [31]
4 years ago
11

Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)

Mathematics
1 answer:
Masja [62]4 years ago
4 0

Answer:

The answer is

<h2>8.6 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,9) and (3,2)

The distance between them is

d =  \sqrt{( {8 - 3})^{2}  + ( {9 - 2})^{2} }  \\  =  \sqrt{ {5}^{2}  +  {7}^{2} }  \\  =  \sqrt{25 + 49}  \\  =  \sqrt{74}  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \\  = 8.60232...

We have the final answer as

<h3>8.6 units to the nearest tenth</h3>

Hope this helps you

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Read 2 more answers
Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = - 1/2 x + 5. (3 poi
telo118 [61]
First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.

The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.

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I hope this helps!
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