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Step2247 [10]
3 years ago
9

PLZ HELP ASAP FEATURES OF A CIRCLE FROM ITS EXPANDED EQUATION LAST ONE

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0
We have the following equation:
 x2 + y2 + 6y - 72 = 0
 Rewriting we have:
 x2 + y2 + 6y = 72
 Complete squares we have:
 x2 + y2 + 6y + (6/2) ^ 2 = 72 + (6/2) ^ 2
 x2 + y2 + 6y + (3) ^ 2 = 72 + (3) ^ 2
 x2 + y2 + 6y + 9 = 72 + 9
 x2 + (y + 3) 2 = 81
 So, the center is:
 (0, -3)
 The radio is:
 r = 9
 Answer:
 
(0, -3)
 
r = 9
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3 years ago
A number n is increased by 8. If the cube root of that results equals -0.5, what is the value of n?
jek_recluse [69]

The cube root of (n increased by 8), or  ∛(n+8), is -0.5, or -1/2.

∛(n+8) = -1/2.  To solve this for n, cube both sides, obtaining n+8 = -1/8.

Eliminate the fraction by mult. all three terms by 8:             8n + 64 = -1

Solving for n:  8n = -65, so that n = -65/8.

8 0
3 years ago
Can I have some help
Brums [2.3K]

\frac{100}{40}  =  \frac{z + 69}{z}  \\ 100z = 40z  + 2760 \\ 60z = 2760 \\ z = 46
6 0
4 years ago
A rectangular retaining wall has an area of
Veronika [31]

Answer:

The height of wall is 3 feet and length of wall is 5 feet

Step-by-step explanation:

Given as :

The Area of retaining wall = 15 square feet

Let The width of wall = W feet

The Height of wall = ( W - 2 ) feet

Now, Area of Rectangle = Height  width

Or , 15 ft² = ( W - 2 ) ft × W ft

Or,  15 = W² - 2 W

Or,   W² - 2 W - 15 = 0

Or,  W² - 5 W + 3 W - 15 = 0

Or, W ( W - 5 ) + 3 ( W - 5 ) = 0

So , ( W - 5 ) ( W + 3 ) = 0

So, W = 5 , - 3

∴ The width of wall = W = 5 feet

And The Height of wall = ( W - 2 ) = 5 - 2 = 3  feet

Hence The height of wall is 3 feet and length of wall is 5 feet. Answer

8 0
3 years ago
21 R[?]<br> 26) 559<br><br> what is the remainder
Virty [35]

The remainder is 13.

The number 559 is called the numerator or dividend, and the number 26 is called the denominator or divisor.

The quotient of 559 and 26, the ratio of 559 and 26, as well as the fraction of 559 and 26 all, mean (almost) the same:

559 divided by 26, often written as 559/26.

Read on to find the result of 559 divided by 26 in decimal notation, along with its properties.

The remainder is 13.

To learn more about division here: brainly.com/question/21416852

#SPJ9

4 0
1 year ago
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