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2 years ago

What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?

Mathematics

1 answer:

Ilya [14]2 years ago

6 0

The equation of the circle is : $x^{2}$ + $y^{2}$ + 6.4 $x$ + 4.2 $y$ = 3.84

<h3>Meaning of a Circle</h3>

A circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.

The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.

In conclusion, The equation of the circle is : $x^{2}$ + $y^{2}$ + 6.4 $x$ + 4.2 $y$ = 3.84

Learn more about equation of a circle: brainly.com/question/1506955

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Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle

Lana71 [14]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, in our case we know this is 10 :

(x+3)(x-1)/2 = 10

(x+3)(x-1) = 20

x² - x + 3x - 3 = 20

x² + 2x - 23 = 0

that is exactly the provided equation. so, yes, x satisfies it.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -23

x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =

= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =

= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =

= -1 ± 2×sqrt(6)

x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4

or using sqrt(6) ≈ 2.45

= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4

x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6

or using sqrt(6) ≈ 2.45

= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

and that makes the height x-1 = 4-1 = 3 units.

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2 years ago

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lukranit [14]

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3 years ago

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3 years ago

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Answer:

-5/3

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3 years ago

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

Ivahew [28]

The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
5670 | 2
2835 | 5
567 | 3
189 | 3
63 | 3
21 | 3
7 | 7
1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).

8 0

3 years ago