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Elena-2011 [213]
2 years ago
9

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Mathematics
1 answer:
Sindrei [870]2 years ago
6 0

Answer:

<h2>x ≤ -11, Yes. The solution set include -11.</h2>

Step-by-step explanation:

x+4\leq\dfrac{1}{2}(x-3)\qquad\text{multiply both sides by 2}\\\\2x+8\leq1(x-3)\\\\2x+8\leq x-3\qquad\text{subtract 8 from both sides}\\\\2x\leq x-11\qquad\text{subtract x from both sides}\\\\\boxed{x\leq-11}

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Step-by-step explanation:

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faltersainse [42]

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

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d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

<h2>Another way :</h2>

B(x1+x2/2 , y1+y2/2)   , x1=3 , x2=6, y1=7, y2=11

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d=√(x2-x1)²+(y2-y1)²

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3 years ago
The slope for 5 and 2
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\qquad\qquad\huge\underline{{\sf Answer}}♨

As we know, slope (m) is equal to tan θ for a straight line :

\qquad \tt\dashrightarrow \: m = \tan( \theta)

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Step-by-step explanation:

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lawyer [7]
The road sign would be 10ft tall.
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