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Sophie [7]
3 years ago
12

Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 -

8y
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

The center is at (3, -4), and the radius is 9.

Step-by-step explanation:

x² + y² − 6x = 56 − 8y

Move x and y terms to one side.

x² − 6x + y² + 8y = 56

Complete the squares.

x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16

(x − 3)² + (y + 4)² = 81

The center is at (3, -4), and the radius is 9.

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Step-by-step explanation:

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4 years ago
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A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumsticks costs $3 how many drumsticks does she have what is t
Gnesinka [82]

A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumsticks costs $3 how many drumsticks does she have what is the cost to replace them all?

answer: she will have 8 sticks and $24 to replace

Step-by-step explanation:

4 drum kits x 2 drumsticks each kit = 8

8 drumsticks x $3 each = $24

<h2>HOPE IT HELP LET ME KNOW IF ANYTHING IS WRONG :D</h2>
4 0
3 years ago
What does the variable c equal in this equation?
Romashka [77]

The answer is 49.

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PLS HELP ASAP calculate the distance between the two points. (18, -24) &amp; (87, 100)
GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

d =  \sqrt{ ({18 - 87})^{2} +  ({ - 24 - 100})^{2}  }  \\  =  \sqrt{ ( { - 69})^{2}  + ( { - 124})^{2} }  \\  =  \sqrt{4761 + 15376}  \\  = \sqrt{20137}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 141.90489773...

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

5 0
3 years ago
gary has 30 beads. He puts all the beads on strings. each string has five beadshow many strings dose gary use. Here is another o
mariarad [96]

Answer:

6

Step-by-step explanation:

30 beads

5 per string

30/5 = 6

6 0
3 years ago
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