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irina [24]
2 years ago
14

Find the equation of the circle center (-3, 4) with radius 7 units.

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0

The equation of the circle with center (-3, 4) and radius 7 units is ( x + 3 )² + ( y - 4 )² = 49.

<h3>What is the equation of the circle?</h3>

The standard form of the equation of a circle is
x² + y² = r²

The center is represented by the horizontal (h) and vertical (k) translations. Hence,

( x - h )² + ( y - k )² = r²

Given the data in the question;

Circle center :(-3, 4)

  • h = -3
  • k = 4
  • Radius r = 7 units
  • Equation of circle = ?

Plug the given values into the equation above.

( x - h )² + ( y - k )² = r²

( x - (-3) )² + ( y - (4) )² = (7)²

( x + 3 )² + ( y - 4 )² = 49

Therefore, the equation of the circle with center (-3, 4) and radius 7 units is ( x + 3 )² + ( y - 4 )² = 49.

Learn more about equation of circle here: brainly.com/question/23799314

#SPJ1

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5 0
3 years ago
What is 8 7/9 − 3 2/3 =
maks197457 [2]

[|] Answer [|]

\boxed{5 \ 1/9}

[|] Explanation [|]

Rewrite the equation with parts separated:

8 + 7/9 - 3 - 2/3

Solve the whole number parts:

8 - 3 = 5

Solve the fraction parts:

7/9 - 2/3

Find LCD of 7/9 & 2/3

7/9 - 6/9 = 1/9

5 + 1/9 = 5 1/9

\boxed{[|] \ Eclipsed \ [|]}

4 0
3 years ago
A square has an area of 144 sq. units. how long is its perimeter?
Arada [10]
Formula for Area of a square:

\boxed {\boxed {\text {Area = Length x Length}}}

Given that the area is 144 unit²:

\text {Length}^2 = 144

\text {Length} = \sqrt{144} = 12 \text { units}

Formula for Perimeter of a square:

\boxed {\boxed {\text {Perimeter = 4 x Length }}}

\text {Perimeter = } 4 \times 12 = 48 \text { units}


\boxed { \boxed { \text {Answer: The perimeter is 48 units.}}}


6 0
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