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Pani-rosa [81]
4 years ago
15

Solve the absolute value inequality |x+9| > 3

Mathematics
1 answer:
Studentka2010 [4]4 years ago
8 0

Answer:

x>−6,x<−12

Step-by-step explanation:

Break down the problem into these 2 equations.

x+9>3x+9>3

-(x+9)>3−(x+9)>3

Solve the 1st equation: x+9>3x+9>3.

x>-6x>−6

3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.

x<-12x<−12

Collect all solutions.

x>-6,x<-12x>−6,x<−12

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Question 1 true not false
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Rectangle LOSP is shown below. The lengths, in units, of some of the line segments are also shown. Line segments MQ and NR are p
Galina-37 [17]

Answer: c. OSRN

Step-by-step explanation:

Sides of similar shapes are proportional.

For Rectangle LOSP,

Length = LO = 4+6+8 = 18 units

Width = OS= 12 units

Here, \dfrac{18}{12}=\dfrac{3}{2}  [proportionality constant]

a. For Rectangle LMQP,

Length = MQ = 12 units

Width = LM = 4 units

Here, \dfrac{12}{4}=3\neq\dfrac32

LMQP is not similar to LOSP.

b. Similarly, for LNRP,

Width = LN= 4+6 = 10

length = NR = 12

\dfrac{12}{10}\neq\dfrac32

LNRP is not similar to LOSP.

c. For OSRN,

Length = OS = 12

Width = ON = 8

\dfrac{12}{8}=\dfrac32

OSRN is similar to LOSP.

d. For MNRQ,

Length= NR = 12

Width = MN = 6

\dfrac{12}{6}=2\neq\dfrac32

MNRQ  is not similar to LOSP.

Hence, the shape similar to rectangle LOSP is OSRN.

4 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
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Answer:

7x+ 14

Step-by-step explanation:

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HELP SUPER DUPER FAST PLS I REALLY NEED IT THANK YOU!!!!!!!!!​
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D. x < -2

(Divide 4 by -2 to isolate x)

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How to find the number of leftover pencils if Wendy wants to share 37 pencils with 9 people?
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Do 37 divided by 9
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