<span>Given the inequality -3n < 81, if we divide both sides by -3, the inequality sign changes. That means we have n > -27. Thus, the answer is d. </span>
Answer: a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive
Step-by-step explanation: It is also possible to rearrange the factors.
(3)(4) = 12 a positive number.
(-3)(-2) = 6, a positive number. Again "a negative times a negative is a positive" --Jaime Escalante, <em>Stand and Deliver</em>
Now you have two positive numbers: 12×6 = 72
The product is positive either way.
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = 
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
Step-by-step explanation:
<h3>so the dividend and divisor were both multiplied by 100.</h3>
