We are given original equation: 
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
The height is: 7.5 inches. Since the terrarium is 14.5 inches in total, and the width is 7 inches, the remaining inches makes up the height and that is 7.5.
Answer:
Step-by-step explanation:
-6 and up going left
Answer:
-4
Step-by-step explanation:
-4 is closer to the 0
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Answer:
The total of the sales price and sales tax is $ 588.35 .
Step-by-step explanation:
As given
$543.51 be the subtotal .
8.25% is the sales tax .
8.25% is written in the decimal form.
= 0.0825
Sales tax price = 0.0825 × 543.51
= $ 44.84 (Approx)
Total of sales price with sales tax = Sale price + Sales tax price
Putting the values in the above
= $543.51 + $44.84
= $ 588.35
Therefore the total of the sales price and sales tax is $ 588.35 .
