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kkurt [141]
1 year ago
7

Solve the following inequalities:

Mathematics
1 answer:
Ann [662]1 year ago
8 0

The values of x are 3/ 2, 6 and 1/ 2 respectively.

<h3>How to solve the inequalities</h3>

Given the inequalities;

  • |x+2| < |x+1|
  • |x^2 + x -12| = x^2 +2x - 6
  • |x-5| + |x+2| < 8

|x+2| < |x+1|

collect like terms

|x + x| < |1 + 2|

add like terms

|2x| < |3|

Make 'x' the subject

|x| < |3/ 2|

|x^2 + x -12| = x^2 +2x - 6

Take the absolute values of the expression

x² + x + 12 = x² + 2x - 6

collect like terms

x² - x² + x - 2x = -6 + 12

- x = 6

x = 6

|x-5|+|x+2|<8

Take absolute values

x + 5 + x + 2 < 8

collect like terms

2x + 7 < 8

2x < 8 - 7

Make 'x' the subject

x < 1/ 2

Thus, the values of x are 3/ 2, 6 and 1/ 2 respectively.

Learn more about inequalities here:

brainly.com/question/25275758

#SPJ1

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natta225 [31]

Answer:

- 6 x - 182

Step-by-step explanation:

6 0
3 years ago
Find the angle of an supplement of an angle that measures 89
Leni [432]

It'll be an acute angle, because a right angle would've been 90° but it's 89°. An obtuse angle would've been over 90°.

6 0
3 years ago
What is the sum of the first nine terms of this Sequence if the first term is 0?
Harlamova29_29 [7]

Answer:

D. 160

Step-by-step explanation:

The sum of the sequence 1, 2, 3, 4, ... , n is n(n + 1)/2.

Here, you have the sum of 4(1, 2, 3, 4, ... , n), so the sum is 4[n(n + 1)/2]

In this case, the first term is 0, so the last term is the 8th term of the sequence above, so n = 8

4[n(n + 1)/2)] =

= 4[8(9)/2]

= 4[72/2]

= 4(36)

= 144

The closest answer is D. 160

8 0
3 years ago
Read 2 more answers
State if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen
Sidana [21]

Answer: a) similar, SSS similarity

<u>Step-by-step explanation:</u>

ΔLSR sides <em>in order from least to greatest</em> are: 24, 33, 36

ΔLNM sides <em>in order from least to greatest</em> are: 112, 154, 168

If the triangles are similar then their corresponding sides will be proportional

\dfrac{LS}{LN}=\dfrac{SR}{NM}=\dfrac{LR}{LM}\\\\\\\\\\\dfrac{LS}{LN}=\dfrac{24}{112}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{SR}{NM}=\dfrac{33}{154}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{LR}{LM}=\dfrac{36}{168}\quad \rightarrow \dfrac{3}{14}

Their corresponding sides are proportional so

ΔLSR ≅ ΔLNM by Side-Side-Side Similarity Theorem

8 0
3 years ago
10 cm<br> 8 cm<br> 2.5 cm<br> 8 cm<br> 6 cm<br> 2.5 cm <br> what’s the surface area
DIA [1.3K]

Answer:

10+8+2.5+8+6+2.5=37 .

ok you are understand or bot

6 0
3 years ago
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