Mathematics, 26.07.2019 03:00 coliver15

Acircle has a radius of square root of 13 units and is centered at (-9.3,4.1) write the equation of this circle. can anyone me with this problem

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Answer from: eborkins

The equation of this circle is
(x+9.3)² + (y-4.1)² = 13

The format for the equation of a circle is
(x-h)² + (y-k)² = r², where (h, k) is the center of the circle and r is the radius.

Answer from: mrylenastewart

(x + 9.3)² + (y - 4.1)² = 13

which can be further simplified to;

x² + y² + 9.3x - 4.1 y + 90.3 = 0

Step-by-step explanation:

using the standard equation of a circle

(x-a)² + (y-b)² = r²

where (a,b) is the center of the circle and r is the radius of the circle

From the question, the circle is cemtered at (-9.3, 4.1) and the radius is √13

We can now proceed to formth equation of the circle

(x + 9.3)² + (y - 4.1)² =(√13)²

(x + 9.3)² + (y - 4.1)² = 13

We can further simplify it,

x² + 9.3x + 86.49 + y² - 4.1y + 16.81 =13

x² + y² + 9.3x - 4.1 y + 103.3 = 13

x² + y² + 9.3x - 4.1 y + 103.3 - 13 = 0

x² + y² + 9.3x - 4.1 y + 90.3 = 0

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

The last answer choice
Identify the sequence that lists the angles of △xyz in order from smallest to largest. !

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