Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
Step 1: multiply the numbers in front of the parentheses with each term inside the parentheses
15p - 9 = 5p - 5
Step 2: get like terms on the same side
10p = 4
Step 3: divide both sides by 10
p = 4/10
Step 4: simplify
p = 2/5
<u>Understanding:</u>
The sum of 3 times a number (i'll define it as x) and 4 means 
is between -8 and 10 which means the value of 3x+4 is less than 10 and greater than -8. With that said, the inequality for that problem would be 
.
<u>Solving the problem:</u>
Now we know that , you can solve the problem by <em>subtracting 4</em> from each side then<em> dividing by 3.</em>
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<u>Final Answer:</u>
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Answer:
7 quarters and 3 dimes
Step-by-step explanation:
7 quarters equal $1.75
3 dimes equal $0.30
If you add them together you get $2.05
So what you do is do 25% of 30. Then you divide 25 by 100 so it can be a number. It would be 0.25. Then you time it by 30. 0.25x30=7.5. Ur done there then you minus it by the original number. 30-7.5=22.5. I HOPED I HELPED!!!!
