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skelet666 [1.2K]
3 years ago
8

Two inetgers that are the same distance from 0 on a number line but opposite sides of 0 are called

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0
Additive inverses, because their sum is 0
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Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

x \leq -21

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

5 * (x + 27) \geq 6 * (x + 26)

Required

Determine the solution set

5 * (x + 27) \geq 6 * (x + 26)

Open Both Brackets

5 * x + 5 * 27 \geq 6 *x + 6 * 26

5x + 135 \geq 6x + 156

Collect Like Terms

5x - 6x \geq 156-135

- x \geq 21

Multiply both sides by -1

x \leq -21

Hence, the solution set is x \leq -21

7 0
3 years ago
Expand and simplify <br><br> A. (x – 2y)(y – 3x)<br><br> B. (2p+3)(p^2-4p-7)
emmasim [6.3K]

Answer:

A. (x−2y)(y−3x)

=(x+−2y)(y+−3x)

=(x)(y)+(x)(−3x)+(−2y)(y)+(−2y)(−3x)

=xy−3x2−2y2+6xy

=−3x2+7xy−2y2

B. (2p+3)(p2−4p−7)

=(2p+3)(p2+−4p+−7)

=(2p)(p2)+(2p)(−4p)+(2p)(−7)+(3)(p2)+(3)(−4p)+(3)(−7)

=2p3−8p2−14p+3p2−12p−21

=2p3−5p2−26p−21

Hope it helps

Please mark me as the brainliest

Thank you

5 0
3 years ago
Somebody Please Help!!!
sasho [114]

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

4 0
3 years ago
What are some real world examples of an obtuse angle?
lisov135 [29]
A reclined chair or maybe a laptop
8 0
3 years ago
How many line segments are in the 20th figure?
Trava [24]
The first figure has 3 line segments.

the second figure has 3+3 =3*2 =  6 line segments

the third figure has 3+3+3 = 3*3 = 9 line segments

the fourth figure has 3+3+3+3=3*4=12 line segments...


so it is clear that:

the 20th figure has 3*20=60 line segments.


Answer: 60
5 0
3 years ago
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