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miskamm [114]
3 years ago
9

Which of the following properties is represented by (ab)c = a(bc)?

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

Associative Property of Multiplication

Step-by-step explanation:

We are given three numbers-a,b,c.

We are given the property (ab)c = a(bc)

This implies that on the left hand side we first multiply a and b and then multiply the result by c. On the right side of the equation, we first multiply b and c and multiply a with the product of b and c.

As per the given property, the result in both the cases is the same.

This signifies the associative property of multiplication where the result is independent of the order of operation.

You might be interested in
Distance between the points (-5,1) and(2, -1)
Anna [14]

Answer:

AB = 7.3

Step-by-step explanation:

7 units to the right, then 2 units down

Hope this helps!!

Plz let me know if I'm wrong...

3 0
4 years ago
Solve using the quadratic formula 2x^2+8x-5=0
Ede4ka [16]

Step-by-step explanation:

Hey there!!

Given,

{x}^{2}  + 8x - 5 = 0

Comparing it with ax^2+bx+c =0 we get,

a= 1, b= 8, c= -5.

Using formula,

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}

Keep all values,

x =   \frac{ - 8 +  -  \sqrt{ {8}^{2}  - 4 \times 1 \times ( - 5)} }{2 \times 1}

x =  \frac{ - 8 +  -   \sqrt{64 + 20}  }{2}

x =    \frac{ - 8 +  -  \sqrt{84} }{2}

x =  \frac{ - 8 +  - 2 \sqrt{21} }{2}

Taking negative,

x =   \frac{ - 8 - 2 \sqrt{21} }{2}

x =   \frac{ - 2(4 +  \sqrt{21}) }{2}

x = 4 +  \sqrt{21}

Similarly, taking positive,

x =  \frac{ - 8 + 2 \sqrt{21} }{2}

x =  \frac{ - 2(4 -  \sqrt{21} ) }{2}

x = 4 -  \sqrt{21}

Therefore, x= (4 + root 21, 4 - root 21).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
What is the result of increasing 50 by 30%?
kogti [31]

Answer:

50 increased by 30% is 65

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

30% = 30/100 = 30 ÷ 100 = 0.3.

100% = 100/100 = 100 ÷ 100 = 1.

Percentage increase = 30% × 50

New value = 50 + Percentage increase

Calculate

New value =

50 + Percentage increase =

50 + (30% × 50) =

50 + 30% × 50 =

(1 + 30%) × 50 =

(100% + 30%) × 50 =

130% × 50 =

130 ÷ 100 × 50 =

130 × 50 ÷ 100 =

6,500 ÷ 100 =

65

Or just find 30% of 50 (15) and add that

8 0
2 years ago
What values of c and d make the equation true? Assume x&gt;0 and 20.
Grace [21]

Answer:

c=1 and c=3

Step-by-step explanation:

If x>0 and y>0, then

\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.

9x

8

50x

6

y

3

=

9x

2

25⋅2y

2

⋅y

=

3x

5y

2y

.

If

\dfrac{5y\sqrt{2y}}{3x}

3x

5y

2y

is equal to

\dfrac{5y^c\sqrt{2y}}{dx},

dx

5y

c

2y

,

then

\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}

y=y

c

⇒c=1,

3x=dx⇒d=3.

5 0
2 years ago
Factor as the product of two binomials.<br> X^2 – 10x + 21
kondaur [170]
You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).
5 0
3 years ago
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