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Vitek1552 [10]
4 years ago
8

In ABC, points D and E are the midpoints of and respectively. What are the slope and length of , if the slope and length of are

0.5 and 3.2 units, respectively?
Mathematics
1 answer:
Scrat [10]4 years ago
4 0

DE is parallel to BC since D is the midpoint of AB and E is the midpoint of AC.

<span>
Thus, DE and BC have the same slope (0.5) and basing on the formula for midpoint, the length of DE would be the equal half of BC and is equal to 1.6 units</span>

 

The slope and length of DE, if the slope and length of BC are 0.5 and 3.2 units, respectively are 0.5 and 1.6 respectively.

 

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Answer:

<h3>- \frac{8}{3}  \geqslant x   \geqslant - \frac{13}{3}</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • solving inequality
  • PEMDAS
<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

few notes about inequality

the direction of the inequality doesn't change if you

  • Add (or subtract) a number from both sides
  • Multiply (or divide) both sides by a positive number
  • Simplify a side

the direction of the inequality does change

if you

  • Multiply (or divide) both sides by a negative number
  • Swapping left and right hand sides

step - 1 : difine

5 \leqslant  - 3x - 3 \leqslant 10

step - 2 :  \\ add \: 3 \: in \: each \: sides

5 + 3 \leqslant  - 3x - 3 + 3 \leqslant 10 + 3

8 \leqslant  - 3x \leqslant 13

step - 3 :  \\ divide  \:  - 3\: from \: each \: sides \:  \\ and \: swap \: the \: inequalily

\therefore -  \frac{8}{3} \geqslant x \geqslant   - \frac{13}{3}

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