<em><u>Question:</u></em>
Geoffrey is evaluating the expression (-3)^3(2^6)/(-3)^5(2^2) as shown below.
(-3)^3(2^6)/(-3)^5(2^2) = (2)^a/(-3)^b = c/d
What are the values of a, b, c, and d?
<em><u>Answer:</u></em>
<em><u>The values are a = 4, b = 2, c = 16, d = 9</u></em>
<em><u>Solution:</u></em>
Given that,
Geoffrey is evaluating the expression
He is evaluating as shown below:
From given,
Use the law of exponent
Therefore,
Thus,
a = 4
b = 2
Simplify further
Thus,
c = 16
d = 9
Thus values are a = 4, b = 2, c = 16, d = 9
Answer:
The correct option is SSS (Side-Side-Side) Theorem
Step-by-step explanation:
The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.
Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN
We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN
Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN
Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM
SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question
Answer:
B
Step-by-step explanation:
recall that any radical expression has real solutions only if A is not negative. (otherwise you will have imaginary solutions)
hence in this case we have
,
for real solutions, 8x must be ≥ 0,
since 8 is a positive number, x must be ≥ 0 (answer)
The anwer to your question is 30.4