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Alex
3 years ago
7

Simplify by using the law of indices:y^a(b+c)×y^b(c-a)×y^c(a-b)​

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

y^{2ac}

Step-by-step explanation:

Using the law if indices

a^{m} × a^{n} = a^{(m+n)}

Thus to simplify the expression add the 3 exponents

a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis

= ab + ac + bc - ab + ac - bc ← collect like terms

= 2ac

Then the expression simplifies to

y^{2ac}

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A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?​
Nutka1998 [239]

Answer:

24

Step-by-step explanation:

12 divided by 1/2 = 24

Hope this helped! :)

7 0
2 years ago
What is the missing coefficient of the x-term of the product (-x-5)² after it has been simplified?
Mice21 [21]

The missing coefficient of the x-term after finding the product of (-x - 5)², is: C. 10.

<h3>What is the Coefficient of a Variable?</h3>

The coefficient of a variable is the numerical value that comes before the variable and multiplies it.

Find the product of (-x - 5)²:

(-x - 5)(-x - 5)

-x(-x - 5) -5(-x - 5)

x² + 5x + 5x + 25

x² + 10x + 25

The x-term is "10x". The coefficient is: 10.

Learn more about the coefficient of a variable on:

brainly.com/question/16895867

#SPJ1

5 0
2 years ago
Convert 2% to a decimal
nalin [4]

Answer: 0.02

Step-by-step explanation: Divide 2 by 100

5 0
3 years ago
Read 2 more answers
Simplify:<br> 5/4x-8y-1/4x+7y+3<br> A)x-y+3<br> B)3/2x+y+3<br> C)3/2x-y+3<br> D)x+y+3
Dovator [93]
<span>A)x-y+3 is your answer 

Proof:

(5 x)/4 - 8 y - x/4 + 7 y + 3
Put each term in (5 x)/4 - 8 y - x/4 + 7 y + 3 over the common denominator 4: (5 x)/4 - 8 y - x/4 + 7 y + 3 = (5 x)/4 - (32 y)/4 - (x)/4 + (28 y)/4 + 12/4:
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4 = (5 x - 32 y - x + 28 y + 12)/4:
(5 x - 32 y - x + 28 y + 12)/4
Grouping like terms, 5 x - 32 y - x + 28 y + 12 = (28 y - 32 y) + (5 x - x) + 12:
((28 y - 32 y) + (5 x - x) + 12)/4
28 y - 32 y = -4 y:
(-4 y + (5 x - x) + 12)/4
5 x - x = 4 x:
(-4 y + 4 x + 12)/4
Factor 4 out of -4 y + 4 x + 12:
(4 (-y + x + 3))/4
(4 (-y + x + 3))/4 = 4/4×(3 + x - y) = 3 + x - y:
Answer:  3 + x - y
</span>
6 0
3 years ago
Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left pa
8090 [49]

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

8 0
4 years ago
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