The center of a circle represented by the equation (x − 5)2 + (y + 6)2 = 42 is

(5,-6)

Step-by-step explanation:

When you write the equation of a circle in the form

Then the center of the circle will be and the radius will be .

 The center of the given circle is (5, -6).

Step-by-step explanation:  We are given to find the center of the circle represented by the following equation :

We know that

the STANDARD equation of a circle with center (h, k) and radius r units is given by

From equation (i), we have

Comparing with the standard form, we get that the center of the given circle is (h, k) = (5, -6).

Thus, the center of the given circle is (5, -6).

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total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5