If (x - h) = 4 and (y - k) = 3, what is the radius of the circle above?
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Beth will pay $ 405.45 for washing machine
<em><u>Solution:</u></em>
Given that, Beth is buying a new washing machine that costs $450
Cost price = $ 450
She has a 15% off coupon
So, she has a discount of 15 % of 450
<em><u>Let us find the discount rate</u></em>
Discount rate = 15 % of 450
Thus discount rate is $ 67.5
<em><u>Therefore, sales price is given as:</u></em>
sales price = cost price - discount rate
sales price = 450 - 67.5 = 382.5
Thus she pays $ 382.5
Now she must pay 6 % sales tax
Let us find the sales tax rate
Sales tax rate = 6 % of 382.5
Thus sales tax rate = $ 22.95
<em><u>How much will Beth pay for the washing machine?</u></em>
Total amount paid by Beth = sales price + sales tax rate
Total amount paid by Beth = 382.5 + 22.95 = 405.45
Thus Beth will pay $ 405.45 for washing machine
Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:
Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:
We can factor out 3^2 = 9 from both equations:
We know from a trigonometric identity that , meaning we can reduce the equation to:
And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.