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docker41 [41]
3 years ago
8

17

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

Center =  \boxed{1}, \: \boxed{ - 2} \: ; \: Radius =  \boxed{3}

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  - 2x + 4y - 4 = 0 \\  \\  ({x}^{2}  - 2x + 1 - 1) + ( {y}^{2}  + 4y + 4 - 4) - 4 = 0 \\  \\ ( {x}^{2}  - 2x + 1) + ( {y}^{2}  + 4y + 4) - 9 = 0 \\  \\  {(x - 1)}^{2}  +  {(y + 2)}^{2}  = 9 \\  \\ {(x - 1)}^{2}  +  {(y + 2)}^{2}  =  {3}^{2}  \\  \\ equating \: it \: with \\  \\  {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}  \\  \\ h = 1 \\ k =  - 2 \\ r = 3 \\  \\ center =  \boxed{1} \: \boxed{ - 2} \:  \: radius =  \boxed{3}

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Select inductive reasoning, deductive reasoning, or neither. A courtroom spectator merely looks at the defendant and says, "He's
Alenkinab [10]
I'd say deductive.
inductive would be looking at his past crimes and asuuming that he's not guilty ,only to reach a contradiction. some thing like that

5 0
2 years ago
Read 2 more answers
Y-3=2(x+1) Whats the missing value in the solution to the equation. (-1,__)
mixas84 [53]

Answer: y = 3

Step-by-step explanation: y−3=2(x+1)

We know that x=-1 and we want to solve for y

Put in x=-1

y-3 = 2(-1+1)

y-3 = 2(0)

y-3=0

Add 3 to each side

y-3+3 = 0+3

y =3

6 0
3 years ago
Please help me!!!!!!!!!!i need to finish by tonight!!
Viktor [21]
Number 3.
opens up
vertex (1,2)
idk maybe because it is on the right side. its positive

number 4.
opens up as well
Vertex (-2,0)
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4 0
3 years ago
WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.​
liq [111]
<h2>Answer- P=<u>18</u></h2>

Step-by-step explanation:

Greetings !

Firstly, find the class-midpoints (X) to solve for the mean.

Thus, mid points of each classes are

5.15.25.35.45

Solve, for <em>p</em><em> </em>using mean grouped data formula

\frac{5(3) + 15(4) + 25(p) + 35(3) + 45(2)}{3 + 4 + p + 3 + 2}  = 24

multiply each values add them and solve for <em>p</em><em>.</em>

<em>\frac{15 + 60 + 25p + 105 + 90}{12 + p}  = 24</em>

make a cross multiplication

270 + 25p = 24(12 + p)  \\ 270 + 25p = 288 + 24p

subtract 270 from both sides

270 + 25p - 270 = 288 + 24p - 270 \\ 25p = 24p + 18

subtract <em>24</em><em>p</em><em> </em>from both sides

25p - 24p = 24p + 18 - 24p \\ p = 18

Also refer the attached image for further details

Hope it helps!

5 0
2 years ago
Ria solves the equation 5 + 3r = 4 + 4r and gets r = r. She concludes that the
Alona [7]
5+3r=4+4r
subtract 4 from both sides
1+3r=4r
subtract 3r from both sides
1=r
7 0
3 years ago
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