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____ [38]
4 years ago
9

Investigating the Definition of Absolute Value

Mathematics
1 answer:
boyakko [2]4 years ago
4 0
It's how far a number is from 0.
( ex.) 6 is 6 away from 0 but so is -6; so the absolute value of 6 is 6 and the absolute value of -6 is 6. the symbol "|" is placed on either side to mean absolute value.

(ex.2) |-6| = 6. -|-6|= -6. |6|=6. and -|6|= -6.
if the negative sign is outside of the symbol then the number will always be negative but if there is no negative sign outside of the symbol it will always be positive, even if it looks lile this. |-6| it would still be positive.
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Answer:

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3 years ago
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vesna_86 [32]

Answer:

D

Step-by-step explanation:

Binomial means that it will have two terms, so by process of elemination, we are only left with C and D. Degree would be the power, and D is the only one that has a power of 2.

3 0
3 years ago
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
Arada [10]

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

8 0
3 years ago
Slove the equation y=mx+b for m<br><br> a)m=y-b-m<br> b)m=(y-b)m<br> c)m=y+b/x<br> d)m=y-b/x
Alina [70]
Subtracting b from both sides, we get y-b=mx. Next, we can divide x from both sides to get (y-b)/x=m. This does not fit into any option, however, as y-b/x is different from (y-b)/x due to that in the former, you first do b/x while in the latter you have to subtract b from y first
4 0
4 years ago
3x +2y=10 4x-y=6 using substitutional method​
Anna11 [10]

Answer:

( 2 , 2 )

Step-by-step explanation:

Solve the eqaution :

3x +2y=10

4x-y=6

Solve the eqaution for y :

3x + 2y = 10

y = -6 + 4x

Substitute for y : 3x + 2 ( -6 + 4x ) = 10

x = 10

Substitute for the value of x : x = 2

Substitute the given value of x into the eqaution

y = -6 + 4x : y = -6 + 4 × 2

Solve the eqaution: y = -6 + 4 × 2

solve the eqaution for y : y = 2

y = 2 A possible solution : the ordered solution pair is

( 2 , 2 )

8 0
3 years ago
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