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ololo11 [35]
3 years ago
15

Which inequality has -25 in its solution set?

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Many inequalitys have -25 in their solution sets.

There are too many to name.

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x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 6x − 8y − 10 = 0 (x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y −
snow_tiger [21]
For this case, what we must do is fill squares in all the expressions until we find the correct result.
 We have then:
 
 x2 + y2 − 4x + 12y − 20 = 0 x2 + y2  − 4x + 12y = 20
 x2  − 4x + y2 + 12y = 20
 x2  − 4x + (12/2)^2 + y2 + 12y  + (-4/2)^2 = 20 + (12/2)^2 + (-4/2)^2
 x2  − 4x + (6)^2 + y2 + 12y  + (-2)^2 = 20 + (6)^2 + (-2)^2
 x2  − 4x + 36 + y2 + 12y  + 4 = 20 + 36 + 4
 (x − 2)2 + (y + 6)2 = 60 

 
3x2 + 3y2 + 12x + 18y − 15 = 0 
 
x2 + y2 + 4x + 6y − 5 = 0 
 x2 + y2 + 4x + 6y  = 5 
 x2  + 4x + (4/2)^2 + y2 + 6y + (6/2)^2 = 5 + (4/2)^2 + (6/2)^2 
 x2  + 4x + (2)^2 + y2 + 6y + (3)^2 = 5 + (2)^2 + (3)^2 
 x2  + 4x + 4 + y2 + 6y + 9 = 5 + 4 + 9 
 (x + 2)2 + (y + 3)2 = 18 

 2x2 + 2y2 − 24x − 16y − 8 = 0
 x2 + y2 − 12x − 8y − 4 = 0
 x2 + y2 − 12x − 8y = 4 
 x2 − 12x + (-12/2)^2 + y2 − 8y + (-8/2)^2 = 4 + (-12/2)^2 + (-8/2)^2
 x2 − 12x + (-6)^2 + y2 − 8y + (-4)^2 = 4 + (-6)^2 + (-4)^2
 x2 − 12x + 36 + y2 − 8y + 16 = 4 + 36 + 16
 (x − 6)2 + (y − 4)2 = 56 

 x2 + y2 + 2x − 12y − 9 = 0
 x2 + y2  + 2x - 12y = 9
 x2  + 2x + y2 - 12y = 9
 x2  + 2x + (2/2)^2 + y2 - 12y  + (-12/2)^2 = 9 + (2/2)^2 + (-12/2)^2
 x2  + 2x + (1)^2 + y2 - 12y  + (-6)^2 = 9 + (1)^2 + (-6)^2
 x2  + 2x + 1 + y2 - 12y  + 36 = 9 + 1 + 36
 (x + 1)2 + (y − 6)2 = 46
7 0
3 years ago
Which Answer is closet to the difference?
bearhunter [10]
Well the difference is -43 so I'm pretty sure it's gonna be A
5 0
3 years ago
Read 2 more answers
Ella is a landscape photographer. One weekend at her art gallery she sells a total of 52 prints for a total of $2,975. How many
abruzzese [7]

Answer:

Ella sold the each print for the cost of $57.21.

Step-by-step explanation:

The total number of prints sold at gallery = 52

Total amount it is sold for = $2,975

Noe, If 52 prints are sold for $2,975.

⇒\textrm{Cost of 1 print} =  \frac{\textrm{Total cost of 52 prints}}{\textrm{52}}

= \frac{2,975}{52}  = 57.21

or, Cost of 1 print = $57.21

So, Ella sold the each print for the cost of $57.21.

4 0
3 years ago
Simplify the fraction below. −63/99
vivado [14]

Answer:

-7/11

Step-by-step explanation:

3 0
3 years ago
Help with this algebra problem? 12y+6=6y+12?
Anika [276]
First, combine like terms.
12y+6=6y+12 turns into
12y-6y=12-6, which is
6y=6. Now divide both sides by 6.
y=1

now do a quick check (cause that's always a good idea).
12(1)+6=6(1)+12
12+6=6+12
18=18  ; )
7 0
3 years ago
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