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miss Akunina [59]
2 years ago
10

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​​

Mathematics
2 answers:
irakobra [83]2 years ago
8 0

Answer:

These points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Lostsunrise [7]2 years ago
3 0

Given equation of the Circle is ,

\sf\implies x^2 + y^2 = 25

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

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8 0
3 years ago
What is the value of k?
Nezavi [6.7K]

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  115° = (4k +5)° +(6k +10)°

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3 years ago
an enrollment of 200 students and this year enrollment has increased by 118%. What is this year's enrollment ?
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3 years ago
A 12inch diameter pizza has 22 calories per square inch. About how many calories are in the entire pizza? Use 3.14 for pi. Selec
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Step-by-step explanation:

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Therefore, radius r = 6 inch

Area \: of \: entire \: pizza \\  = \pi {r}^{2}  \\  = 3.14 \times  {6}^{2}  \\  = 3.14 \times 36 \\  = 113.04 \:  {inch}^{2}  \\  \\ amount \: of \: calories \: in \: entire \: pizza \\  = area \: of \: pizza \\  \times calories \: per \: square \: inch \\  = 113.04 \times 22 \\  = 2,486.88 \\

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castortr0y [4]

Answer:

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From. The question, the triangle formed us a right angled triangle,

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7 0
3 years ago
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