Answer:
a.b=[-1]
Step-by-step explanation:
This is a dot product of a and b
a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]
(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:
Here is how you do it step by step.
Step-by-step explanation:
Step 1: Simplify each side, if needed.
Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.
Step 3: Use Mult./Divide
Step 4: Check your answer.
I find this is the quickest and easiest way to approach linear equations.
Example 6: Solve for the variable.
<u>Hope this helps!</u>
Answer:
True
It is also known as Theodorus' constant named after Theodorus of Cyrene, who proved its irrationality!
A. Stiles. For Melendez, each family member uses about 390 kilowatts of electricity. For Barton, each family member uses about 355 kilowatts of energy. Stiles uses 745 kilowatts per family member. 745 divided by 355 rounds up to 2 while 745 divided by 390 rounds up to 2. This means that the Stiles family uses twice the amount of electricity per person than the other families.
b. The Melendez family. The Melendez family uses 875 gallons per family member. The Barton family uses about 1067 gallons of water while the Stiles family uses about 1250 gallons. 875< 1067< 1250. This means that the Melendez family uses the least amount of water per family member.
