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
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
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
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
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Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Answer:
X= 1/2
Step-by-step explanation:
-3x+7x=2
4x = 2
4x/4 + 2/4
X= 1/2