Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3
Step-by-step explanation:
In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.
Then the correct option is d.
Where the degree of the first term is (4 + 1) = 5
The degree of the second term is (2 + 2) = 4
The degree of the third therm is 3.
We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:
-3*x^4*y + 2*x^2*y^2 + 5*y^3
Answer:
x + 10
Step-by-step explanation:
X is used to represent a variable or any number. This letter can be changed if you'd like
Answer:
The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12
Step-by-step explanation:
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
for example :-
3x + 4y – 7, 4x – 10, etc.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign
let the quantity mentioned in the question be 'x'
therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is
⇒2x - 12 (answer)
more on algebraic expression at
brainly.com/question/20660076
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<u>Given</u>:
The given triangle is a similar triangle.
The length of the hypotenuse is 18 units.
The length of the leg is a.
The length of the part of the hypotenuse is 16 units.
We need to determine the proportion used to find the value of a.
<u>Proportion to find the value of a:</u>
We shall find the proportion to determine the value of a using the geometric mean leg rule.
Applying the leg rule, we have;
Substituting the values of hypotenuse, leg and part, we get;
Thus, the proportion used to find the value of a is
Hence, Option D is the correct answer.
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