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3 years ago

Represent the following sentence as an algebraic expression, where "a number" is the

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

6 0

Answer:

2x where 2 is a number and x is a variable

Firlakuza [10]3 years ago

4 0

Answer:

2x where 2 is a number and x is a variable

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Plz help me!!!!!!!!!

mamaluj [8]

Answer:We cant see it

Step-by-step explanation:

3 0

4 years ago

Find the measures of two angles, one positive and one negative, that are coterminal with <img src="https://tex.z-dn.net/?f=%5Cfr

aleksandrvk [35]

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

positive angle - reference angle = 360°

reference angle - negative angle = 360°

where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

positive angle - pi/5 = 2 pi

positive angle = 2 pi + pi/5

positive angle = 11/5 pi

pi/5 - negative angle = 2 pi

negative angle = pi/5 - 2 pi

negative angle = -9/5 pi

5 0

3 years ago

En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál e

Mandarinka [93]

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

8 0

3 years ago

On a number line, Karlie has to divide the space between —5 and —3 into five smaller, equal spaces. On what numbers does Karlie

Dafna1 [17]

Answer:

{-4.6, -4.2, -3.8, -3.4}

Step-by-step explanation:

The length of the space Karlie is dividing is -3-(-5) = 2 units. Then the length of each of those equal 5 spaces will be 2/5 units = 0.4 units.

Each mark on the number line is 0.4 units to the right of the previous one. The first (left-most) mark is 0.4 units to the right of -5, so is at -5+0.4 = -4.6.

The marks have to be placed at -4.6, -4.2, -3.8, and -3.4.

3 0

3 years ago

The sum of a rational number and negative integer is rational

natulia [17]

Answer:

correct

Step-by-step explanation:

negative integers are still rational numbers if it is a whole number or complete

4 0

3 years ago