Check out the attached image below for the steps on how to do this derivation.
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Some notes:
- For line 2, I used the identity
- For line 7, I applied the reciprocal to both sides.
- For line 8, I used the identity
- For line 9, I used the identty
which is a rearrangement of 
- For lines 1 through 6, I'm isolating tan^2, so that I can later transform that into cot^2, which leads to csc^2. All of this is done through the identities mentioned above.
Answer:
<em>The point (-3,2) is not a solution of the inequality</em>
Step-by-step explanation:
<u>Inequality</u>
Inequalities relate the left and the right side of an expression with an operator other than the equal sign.
The inequality given in the question is
There are many combinations of r and y that make inequality be true. For example, for r=1 and y=1
This relation is true since -14 is less than -9.
Also, there are many combinations that make the given inequality be false.
For example, for r=2 and y=-1
This inequality is false.
Let's test the point (-3,2)
Which is false, thus the point (-3,2) is not a solution of the inequality
Answer:
i = ($650)(0.08)(1) = $52
Step-by-step explanation:
The formula for simple interest is i = prt. Here p = $650, r = 0.08 and t = 1 (year). Then the simple interest Deanna paid for this one year loan was
i = ($650)(0.08)(1) = $52
Answer: so you do length times width times height and then you divide by two
Step-by-step explanation:
Answer:
1/12 (or 0.833)
Step-by-step explanation:
Recall that the definition of "slope" is the change in vertical distance divided by the change in the horizontal distance. (aka. rise ÷ run)
it is given that rise = 50 feet and the horizontal distance (i.,e "run") = 600feet
hence slope = rise / run = 50 / 600 = 1/12 (or 0.833)
