Answer:
b. 10a³ - 11a - 3
Step-by-step explanation:
1. Expand 3(a³ - 2a - 5)
= 3a³ - 6a - 15
2. Add 7a³ - 5a + 12 and 3a³ - 6a - 15
7a³ + 3a³ = 10a³
-5a + -6a = -11a
12 + -15 = -3
3. Answer: b. 10a³ - 11a - 3
Answer:
Is this a scam
Step-by-step explanation:
The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.
As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.
We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."
Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.
- Algebraic expressions: An expression which is constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
- Like terms: The definition of similar words is the terms that have the same variable raised to the same power. Only the numerical coefficients can alter in terms that are similar to algebra. We may combine similar words to make algebraic expressions simpler, making it much simpler to determine the expression's outcome.
To learn more about algebra, click on the link given below:
brainly.com/question/24875240
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Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
The answer is letter D, Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS orientation.
