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Firdavs [7]
3 years ago
10

10. Use grids to draw all the possible arrays

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

Please check the attached figure a to visualize the array grid for 5, 7 and 11.

Step-by-step explanation:

As the given number be 5, 7 and 11.

An array is basically the display of things in rows and columns. Students tend to draw arrays for multiples of a given number.

For example,  2 × 1 means the objects are placed in two rows and 1 column.

The numbers 5, 7 and 11 are prime numbers as they have only two factors  

  • A prime number consists of just two factors, 1 and the number itself
  • For example, 3 is prime number because the only factors of 3 are 1 and 3

So,  

As the factors of 5 are 1 and 5. Therefore, the possible number of drawing all the possible arrays of 5 will be two which are

  • 1 × 5 and 5 × 1

As the factors of 7 are 1 and 7. Therefore, the possible number of drawing all the possible arrays of 7 will be two which are

  • 1 × 7 and 7 × 1

As the factors of 11 are 1 and 11. Therefore, the possible number of drawing all the possible arrays of 11 will be two which are

  • 1 × 11 and 11 × 1

Please check the attached figure a to visualize the array grids for 5, 7, and 11.

Keywords: arrays, number, prime number

Learn more about drawing arrays for number from brainly.com/question/13278394

#learnwithBrainly

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Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

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y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

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Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

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Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei
Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points (x_1,y_1) and (x_2,y_2) is given by the formula

m = \frac{y_2-y_1}{x_2-x_1}

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

<u>In case of KM:</u>

(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)

Putting the values in the formula for slope

m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3

<u>In case of ST:</u>

<u></u>(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)<u></u>

Putting the values in the formula for slope

m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0
3 years ago
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