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aleksandrvk [35]
3 years ago
12

12^13–12^12+12^11 is divisible by 7 and 19.

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

The statement is true

Step-by-step explanation:

The question is as following :

12^{13}-12^{12}+12^{11} is divisible by 7 and 19, true or false?

The given expression is 12^{13}-12^{12}+12^{11}

Take 12^{11} as a common

12^{13}-12^{12}+12^{11} = 12^{11}*(12^2-12^1+12^0)\\= 12^{11} *(144-12+1)\\=12^{11} * 133\\= 12^{11} * 7 * 19

So, 12^{11} * 7 * 19 divided 7 = 12^{11} * 19

And 12^{11} * 7 * 19 divided 19 = 12^{11} * 7

12^{13}-12^{12}+12^{11} is divisible by 7 and 19 (<u>True</u>)

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How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?
valentinak56 [21]

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

8 0
3 years ago
Logariths, please help​
Valentin [98]

Answer:

<em>{ - 2 , 8 } </em>

Step-by-step explanation:

log_{4} ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ x_{1} = - 2 , x_{2} = 8

<em>{ - 2 , 8 }</em>

3 0
2 years ago
First question. The midpoint of SR is...
Blizzard [7]

The formula of a midpoint SR:

M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)

We have

S(4, 1) and M(7, -5)

Substitute:

\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11

<h3>Answer: R(10, -11)</h3>
6 0
3 years ago
11/15 - 2/5 idk how to solve this I need help
Kaylis [27]
11/15-2/5
Multiply 2 and 5 to get a common denominator of 15
11/15-6/15
=4/15
6 0
3 years ago
What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest fo
Reptile [31]

Complete question :

What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest form.

1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c

Answer:

1/2c

Step-by-step explanation:

Taking the sum :

1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c = 6/2c + 2/4c + 6/4c

6/2c + 2/4c + 6/4c

3/1 + 1/2 + 3/2 = (6 + 1 + 3) / 2 = 10 /2

= 5

Total number of orders = 10

Average = 5 / 10 = 1 /2 c

5 0
3 years ago
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