Mathematics: Find the equation for the circle with center (-1, - 4) and passing through (-5,5).

The sides of a square have the same lengths, so the diagonal and two sides form a 45-45-90 right triangle. In a 45-45-90 triangle, the hypotenuse has a length with is longer than the legs. Therefore, the sides of the square would be .Rationalize the fraction be multiplying the numerator and denominator by root 2. The 14 and 2 will reduce to 7, and the answer is A....

Find the equation for the circle with center (-1,

Ответ:

kmsg2000

15.07.2021

Mathematics

(x+1)^2+(y+4)^2=97

Step-by-step explanation:

Hi there!

Equation of a circle centered at (h,k):

(x-h)^2+(y-k)^2=r^2 where r is the radius

1) Plug in the center

$(x-(-1))^2+(y-(-4))^2=r^2\\(x+1)^2+(y+4)^2=r^2$

2) Plug in the given point and solve for r²

(x+1)^2+(y+4)^2=r^2

Plug in (-5,5)

$(-5+1)^2+(5+4)^2=r^2\\(-4)^2+(9)^2=r^2\\16+81=r^2\\r^2=97$

3) Plug r² back into the equation

$(x+1)^2+(y+4)^2=r^2\\(x+1)^2+(y+4)^2=97$

I hope this helps!

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Ответ:

exoticbunnylover123

22.07.2022

Mathematics

The sides of a square have the same lengths, so the diagonal and two sides form a 45-45-90 right triangle. In a 45-45-90 triangle, the hypotenuse has a length with is $\sqrt{2}$ longer than the legs.

Therefore, the sides of the square would be $\frac{14}{ \sqrt{2} }$ .

Rationalize the fraction be multiplying the numerator and denominator by root 2.

$\frac{14 \sqrt{2} }{2}$

The 14 and 2 will reduce to 7, and the answer is A.

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Find the equation for the circle with center (-1, - 4) and passing through (-5,5).

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