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andrezito [222]
3 years ago
5

Solve each inequality below. Represent the solutions on number lines. 7x − 2 < 3 + 2x

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0
Hi, I would be glad to help you here. 

<span>7x − 2 < 3 + 2x 

Move terms 

7x - 2x - 2 < 3 

Collect the like terms

(7x - 2x) = 5x (<3 + 2 stays the same) 

Calculate 

5x (<3 + 2 = 5) 

5x <5 

Divide both sides of the inequality by (5) giving you, 

x < 1 

So, finally in a total the correct answer here is (x < 1)  

</span>
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Step-by-step explanation:

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3 years ago
Find the distance between the points (5, -5) and (-7,4).
abruzzese [7]

Answer:

<h2>The answer is 15 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

(5, -5) and (-7,4)

The distance between them is

d =  \sqrt{ ({5 + 7})^{2}  +  ({ - 5 - 4})^{2} }  \\  =  \sqrt{ {12}^{2}  + ( { - 9})^{2} }  \\  =  \sqrt{144 + 81}  \\  =  \sqrt{225}  \\  = 15 \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>15 units</h3>

Hope this helps you

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2 years ago
Find the perimeter and area of the parallelogram. 
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