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Sophie [7]
3 years ago
7

A circle has the equation x^2−8y−6x+y^2=4.

Mathematics
1 answer:
mylen [45]3 years ago
8 0
Hello here is a solution :
x²-8y-6x+y²=4....(1)
A)
x²-6x = x²-2(3)x+9-9
         = x²-2(3)x+3²-9
x²-6x =(x-3)² -9
B)
y²-8y = y²-2(4)y +4²-16
y²-8y = (y-4)²-16
C)
in (1) :

(x-3)² -9 +(y-4)²-16 = 4
(x-3)² +(y-4)² = 29   ...<span>is the standard form of the equation

</span>   <span>Select answer 1 : 
</span><span>A: 3
B: 4
C: (x−3)2+(y−4)2=29</span>
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Simplify<br> 53<br> Enter your answer in the box
vesna_86 [32]

Answer:

we need more information

Step-by-step explanation:

7 0
2 years ago
Sorry for the little blur but number 18 please! And sorry for the work mess. Start where it says *Start Here*
motikmotik
You are almost done!
well, the euation of a circle centered at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so you havve
(x-3)²+(y+5)²=9 (which is correct)
this can be rewritten as
(x-3)²+(y-(-5))²=3²
the center is (3,-5) and the radius is 3
5 0
2 years ago
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
sdas [7]

Given

 One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had  coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had  coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore  the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved

7 0
3 years ago
I need to know what the answer to this problem is the right answer 4/8
erik [133]
I got 8/3 because 4/8 would simplify to 1/2 and the line would be flatter
8 0
3 years ago
Translate the sentence into an inequality.
BlackZzzverrR [31]
X+5 ≤ -17
Or if it’s y instead of x put that.
Hope this helps though
7 0
3 years ago
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