Answer:
|-3| = 3 and -|-4| = -4
Step-by-step explanation:
The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.
|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true
|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false
-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false
|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false
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<em>Additional comment</em>
A compound "and" statement is only true if <u>all</u> of the parts of it are true.
Answer:
x = - 9, x = 6
Step-by-step explanation:
Given
x² + 3x - 54
To find the solutions equate to zero
x² + 3x - 54 = 0 ← in standard form
(x + 9)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 6 = 0 ⇒ x = 6
Answer:
Proved
Step-by-step explanation:
I am going to pose c as the largest side in a random triangle
If so then remember that, by the triangle inequality, a + b > c. Let's start from there...
Statement: | Reasoning:
1. a + b > c 1. Triangle Inequality
2. a + b + c > c + c (adding c on both sides), 2. Algebra + Def. Of Perimeter
a + b + c > 2c (simplified)
Perimeter > 2c (definition of perimeter)
c < 1/2 * Perimeter
Answer:
10%
Step-by-step explanation:
