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2 years ago

Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

6 0

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

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In ΔBCA, CB = 11 cm, CG = 6 cm, AH = 9 cm. Find the perimeter of ΔBCA. Triangle BCA with inscribed circle D. Segments BF and BH,

romanna [79]

Answer:

The perimeter of Δ ABC is 40 cm ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Circle D is inscribed in triangle ABC

- The circle touches the side AB at H , side BC at F , side CA at G

- BF and BH are tangents to circle D from point B

∴ BF = BH ⇒ tangents drawn from a point outside the circle

- CF and CG are tangents to circle D from point C

∴ CF = CG ⇒ tangents drawn from a point outside the circle

- AG and AH are tangents to circle D from point A

∴ AG = AH ⇒ tangents drawn from a point outside the circle

∵ CG = 6 cm ⇒ given

∴ CF = 6 cm

∵ CB = 11 cm ⇒ given

∵ CB = CF + FB

∴ 11 = 6 + FB ⇒ subtract 6 from both sides

∴ FB = 5 cm

∵ FB = BH

∴ BH = 5 cm

∵ AH = 9 cm ⇒ given

∵ AH = AG

∴ AG = 9 cm

∵ AB = AH + HB

∴ AB = 9 + 5 = 14 cm

∵ AC = AG + GC

∴ AC = 9 + 6 = 15 cm

∵ BC = 11 cm ⇒ given

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 14 + 11 + 15 = 40 cm

* The perimeter of Δ ABC is 40 cm

3 0

3 years ago

How do you factor 7x^{2}+29x+4

Gala2k [10]

When you have a coefficient in front of the "x^2" value, you have to multiply it by the end value (4)

so you want a set of integers that will add up to 29, by multiple to (7 x 4) = 28

The only numbers like that are 28 and 1, they add up to 29 and multiply to 29

Therefore, rewrite it like this 7x^2 + 28x + x + 4

and then factor out the 7x in the first two terms, to get this

7x(x+4) + x + 4, then factor out 1 in the latter two terms to get this:

7x(x+4) +1(x+4), then use grouping to combine what you've got:

The factors are: {{ (7x+1)(x+4) }}

7 0

3 years ago

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

Licemer1 [7]

Answer:

Step-by-step explanation:

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

= a + b - c + d

= 5 + 4 - 1 + (-3)

= 5 + 4 - 1 - 3

= 5 + 4 - 4

= 5