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Airida [17]
3 years ago
14

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and

calculations to receive credit x^2 - 4x + y^2 + 8y = -4​

Mathematics
1 answer:
Bond [772]3 years ago
8 0

<em>x</em> ² - 4<em>x</em> + <em>y</em> ² + 8<em>y</em> = -4

(<em>x</em> ² - 4<em>x</em> + 4) + (<em>y</em> ² + 8<em>y</em> + 16) = -4 + 4 + 16

(<em>x</em> - 2)² + (<em>y</em> + 4)² = 16

(<em>x</em> - 2)² + (<em>y</em> + 4)² = 4²

which is the equation of a circle centered at (2, -4) and with radius 4.

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A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find
Serga [27]

Answer:

first number = 78

second number = 72

third number = 156

Step-by-step explanation:

first number = a

second number = b

third number = c

we have

b=a-6   equation 1

c=2a     equation 2

a+b+c=306    equation 3

using equation 1 and equation 2 in equation 3 we have

a+a-6+2a=306

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4a=312

a=312/4

a=78= first number

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3 0
3 years ago
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tino4ka555 [31]

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we know that

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see the attached figure to better understand the problem

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A company has 300 items to post, they have packages and
swat32

Answer:

£162.35.

Step-by-step explanation:

Total of letters + packages = 300.

Number of packages =  300 * 16 / ( 16+59)

= 300 * 16/75

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So number of letters = 300 - 64 = 236.

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