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serg [7]
2 years ago
11

5-4-3-2

Mathematics
2 answers:
weeeeeb [17]2 years ago
5 0

Answer:

1st option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 2, 1 ) and r = 3 , then

(x - (- 2) )² + (y - 1)² = 3² , that is

(x + 2)² + (y - 1)² = 9 ← expand factors using FOIL

x² + 4x + 4 + y² - 2y + 1 = 9

x² + 4x + y² - 2y + 5 = 9 ( subtract 9 from both sides )

x² + 4x + y² - 2y - 4 = 0 , that is

x² + y² + 4x - 2y - 4 = 0 ← in general form

Ludmilka [50]2 years ago
3 0

Answer:

\textsf{1)} \quad x^2+y^2+4x-2y-4=0

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

  • (a, b) is the center
  • r is the radius

From inspection of the graph:

  • center of the circle = (-2, 1)
  • radius of the circle = 3

Substitute the found values into the formula:

\implies (x-(-2)^2+(y-1)^2=3^2

\implies (x+2)^2+(y-1)^2=9

Expand and simplify:

\implies (x+2)^2+(y-1)^2=9

\implies x^2+4x+4+y^2-2y+1=9

\implies x^2+y^2+4x-2y+5=9

\implies x^2+y^2+4x-2y-4=0

Learn more here:

brainly.com/question/27783217

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bekas [8.4K]

Answer:

option A is correct

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4 0
3 years ago
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A Family travels at a constant rate and drove 420 miles in 7 hours.If they drive at the same speed ,How many miles will they dri
Mazyrski [523]

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

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= 60 miles per hour

Step 2

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We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

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Time = 4 hours

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Therefore, for the next 4 hours the number of miles they would drive is 240 miles

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3 years ago
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Vlad1618 [11]
Yes you are correct that is the answer.
6 0
3 years ago
Find the hypotenuse of a 45-45-90 triangle with legs equal to 7
madam [21]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Help me pleaseeeessss
wlad13 [49]

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

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