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vredina [299]
3 years ago
10

Solve for x: |x − 2| + 10 = 12

Mathematics
2 answers:
Sphinxa [80]3 years ago
5 0
First you can add -10 on both sides so you gonna have :
 l x - 2 l = 12 - 10 ⇒ l x - 2 l = 2 now because of the absolute value you should say : 
1) x - 2 = 2 ⇒ x = 2 + 2 ⇒ x = 4 

2) x- 2 = -2 ⇒ x = -2 +2 ⇒ x = 0 
so the answer is first one :)))
i hope this is helpful 
have a nice day 
raketka [301]3 years ago
3 0
✯<span>Let's solve this equation step-by-step!
</span>✯<span>is the question you've asked us today:
|x − 2| + 10 = 12

</span>✯<span>Add -10 to both sides:
</span><span><span><span>|x−2|</span>+10</span>+−10</span>=<span>12+<span>−10
</span></span>
✯<span>Solve Absolute Value:
</span><span>|x−2|</span>=<span>2
</span>
✯We know either: 
<span>x−2=2 </span>or <span>x−2=<span>−<span>2
</span></span></span>
(Possibility 1) <span>x−2=2
</span>
(Add 2 to both sides) <span><span>x−2+2</span>=<span>2+2
</span></span>
x=<span>4
</span>
(Possibility 2) <span>x−2=<span>−2
</span></span>
(Add 2 to both sides) <span><span>x−2+2</span>=<span>−2+2</span></span>

x=<span>0
</span>
✯So since we have gotten x=4 and x=0 you answer shall be:

B. x=4 and x=0

✯I hope this helps!<span>✯</span>

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Alex

To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.

<h3>How you would draw the median of the triangle from vertex A?</h3>

Recall that B = (3, 7)

and            C = (-4, -5).

  • Note that when you are given coordinates in the format above, B or C = (x, y)
  • Hence the mid point of line BC is point D₁ which is derived as:
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  • hence, the Median of the Vertex A = (-1/2, 1).

Connecting D' and A gives us the median of the vertex A. See attached graph.

<h3>What is the length of the median from C to AB?</h3>

Recall that
A → (4, 2); and

B → (3, 7)

Hence, the Midpoint will be

[(\frac{4+3}{2} ), (\frac{2+7}{2} )]

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Recall that

C → (-4, 5)

Hence,

\overline{C D_{2} } =  \sqrt{[(-4 -\frac{7}{2} })^{2}  + (-5-\frac{9}{2} )^{2} ]

Simplified, the above becomes


= √(586)/2)

= 24.2074/2

= 12.1037

The length of the Median from C to AB ≈ 12

Learn more about Vertex at;
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