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2 years ago

Circles in the Coordinate Plane Acellus Complete the equation of this circle: А 1

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

5 0

Answer:

(x -+2)² + (y - 4)² = 36

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, 4) and r = 6 , then

(x - (- 2))² + (y - 4)² = 6² , that is

(x + 2)² + (y - 4)² = 36 ← equation of circle

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3 years ago

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2 years ago

5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x

PSYCHO15rus [73]

Answer:

x=-8

Step-by-step explanation:

Simplifying

5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -15 + 14 = -1

-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -1 + -28 = -29

-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -29 + 2 = -27

-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: 5x + -7x = -2x

-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -2x + -8x = -10x

-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -10x + -3x = -13x

-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 11 + 56 = 67

-27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 67 + -6 = 61

-27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 61 + 8 = 69

-27 + -13x = 69 + -8x + 4x + 5x + -2x

Combine like terms: -8x + 4x = -4x

-27 + -13x = 69 + -4x + 5x + -2x

Combine like terms: -4x + 5x = 1x

-27 + -13x = 69 + 1x + -2x

Combine like terms: 1x + -2x = -1x

-27 + -13x = 69 + -1x

Solving

-27 + -13x = 69 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-27 + -13x + x = 69 + -1x + x

Combine like terms: -13x + x = -12x

-27 + -12x = 69 + -1x + x

Combine like terms: -1x + x = 0

-27 + -12x = 69 + 0

-27 + -12x = 69

Add '27' to each side of the equation.

-27 + 27 + -12x = 69 + 27

Combine like terms: -27 + 27 = 0

0 + -12x = 69 + 27

-12x = 69 + 27

Combine like terms: 69 + 27 = 96

-12x = 96

Divide each side by '-12'.

x = -8

Simplifying

x = -8

5 0

3 years ago