Answer:
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distance Formula:
- Midpoint Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
(5, -1)
(-9, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute:
- Simplify:
- Subtract/Add:
- Evaluate:
- Evaluate:
<u>Step 3: Find Midpoint</u>
- Substitute:
- Subtract:
- Divide:
It's 2 2/3, I can provide working later on
Answer:
Step-by-step explanation:
sec(-x) − sin(-x) tan(-x)
So the first step is often to write everything in terms of sine, cosine, or tangent. So let's rewrite using sec x = 1 / cos x:
1/cos(-x) − sin(-x) tan(-x)
Now we need to deal with those -x angles. For that, we use reflection identities:
sin(-x) = -sin x
cos(-x) = cos x
tan(-x) = -tan x
Therefore:
1/cos(x) − sin(x) tan(x)
Now let's rewrite tan(x) as sin(x) / cos(x):
1/cos(x) − sin²(x)/cos(x)
Factoring:
(1 − sin²(x)) / cos(x)
Using Pythagorean identity: sin²(x) + cos²(x) = 1. So 1 − sin²(x) = cos²(x).
cos²(x) / cos(x)
And finally, we divide.
cos(x)
divide 53.32 by 12 which is 4.36$ per package of coffee