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irga5000 [103]
3 years ago
9

Solve the following inequality.

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

A -6 < x ≤ -3

Step-by-step explanation:

21 ≤ - 3(x - 4) < 30

Divide all parts by -3.  Remember that flips the inequalities

21/-3  ≥ - 3/-3 (x - 4) > 30/-3

-7  ≥  (x - 4) > -10

Add 4 to all sides

-7+4  ≥  x - 4+4 > -10+4

-3  ≥  x  > -6

Rearranging the order

-6 < x ≤ -3

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Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)
Masja [62]

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

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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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