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Alik [6]
3 years ago
6

Which statement is the Law of Detachment?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0

if p-q is a true statement and p is true ,then q is true

lawyer [7]3 years ago
7 0

Answer:  The correct option is

(D) If p→q is a true statement and p is true, then q is true.

Step-by-step explanation:  We are given to select the statement that describes the "Law of Detachment".

We know that "Law of detachment" states that

If a conditional statement is true and its hypothesis is also true, then its conclusion is also TRUE.

For the conditional statement is p → q, the hypothesis is p and conclusion is q.

Therefore, the law of detachment says

"If p→q is a true statement and p is true, then q is true."

Thus, (D) is CORRECT.

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Substitution Property of Equality:<br> If AB = 20, then AB + CD
otez555 [7]

Answer:

CD + 20

Step-by-step explanation:

If AB = 20, then AB + CD = 20 + CD

Answer: CD + 20

5 0
3 years ago
Can someone help me out please
Brums [2.3K]

Answer:

D. g(x) = (x - 5)² + 3

Step-by-step explanation:

If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).

If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.

This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3

7 0
3 years ago
Find the ninth term of the sequence sqrt 5, sqrt 10, ^2sqrt 5
hjlf
The rule of geometric sequence is   ⇒⇒⇒ a * r^(n-1)
Where a is the first term and  r is the common ratio
for the given sequence  √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5

the correct answer is the third option 16√5
5 0
3 years ago
The first term of the sequence is -15. what is the next term in the sequence?
Alenkinab [10]

Answer:

-10

Step-by-step explanation:

minus 5 in each number

7 0
3 years ago
Solve for x<br> 9 - x &lt; 17<br><br> btw the &lt; has the line underneath it!
Radda [10]

Answer:

Step-by-step explanation:

9 - x ≤17

At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.

We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.

Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.

9 - x ≤ 17                        Add x to both sides

9 - x+x ≤ 17 + x              Combine

9 ≤ 17 + x                      Subtract 17 from both sides.

9 - 17 ≤ 17 - 17 + x

8 ≤ x

Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.

7 0
3 years ago
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