Ayuda por favor en la actividad 3 , Funciones, Matemáticas

Final answer:

The problem involves finding the sides of a triangle given the perimeter and conditions for each side. After setting up an equation based on the conditions and solving for x, which is assumed to be the shortest side, the sides of the triangle are found to be 39 feet, 78 feet, and 67 feet.

Explanation:

This is a mathematical problem involving triangles and perimeter. The perimeter of a triangle is the sum of all of its sides. In your case, if we assume the shortest side to be x feet, then the other two sides, according to the question, are 2x feet and x+28 feet. Since the perimeter is 184 feet, these can be added together and set equal to 184, as such:

x + 2x + (x+28) = 184.

Add together like terms:

4x + 28 = 184.

Subtract 28 from both sides:

4x = 156.

Divide both sides by 4:

x = 39 feet.

Therefore, the sides of the triangle are 39 feet, 78 feet (2 * 39), and 67 feet (39 + 28).

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Answer:

HI,

Step-by-step explanation:

12 mod 13=12

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope  and c the y- intercept )

given the line with equation

2x + 2y = 18 ( subtract 2x from both sides )

2y = - 2x + 18 ( divide through by 2 )

y = x + , that is

y = - x + 9 ← in slope- intercept form

Answer:

A is the answer

Step-by-step explanation:

Final answer:

To find the product of two functions, substitute the given functions into the expression and simplify.

Explanation:

To find (f×g)(x), we need to multiply the functions f(x) and g(x). First, let's substitute f(x) = x^2 + 8x + 15 and g(x) = 5/(x^2 - 9) into the expression. (f×g)(x) = (x^2 + 8x + 15) × (5/(x^2 - 9)).

Next, we simplify the expression by multiplying the numerators and denominators. (f×g)(x) = 5(x^2 + 8x + 15) / (x^2 - 9).

We can further simplify by factoring the numerator and denominator if possible. If not, we can leave the expression as is. Therefore, (f×g)(x) = 5(x + 5)(x + 3) / (x - 3)(x + 3).

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800 different sets of 4 digit PIN could be made.

• The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.

So, ways of choosing 1 out of 4 digits = 4 P 1 = 4

• The Seconddigit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

• Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

• The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.

So, ways of choosing 1 out of 2 digits = 2 P 1 = 2

Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways

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Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits