Mathematics, 22.07.2019 05:00 angelyce4142

Acircle is centered at the point (5,-4) and it passes through the point (-3,2). the equation of this circle is (x+ )^2+(y+ )^2=

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Remember that the general formula for a circle is (x – h)² + (y – k)² = r², where (h,k) is the coordinate of the center. We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2). To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.Let's do the second one, plugging in and solving for r.We can use the point (-3,2) for (x,y):(x – h)² + (y – k)² = r²(-3 - 5)² + (2 - -4)² = r²(-8)² +(6)² = r²64 + 36 = r²100 = r²r = 10We know that r=10, and that r² = 100Using h, k, and r, we can now solve for the equation of the circle in standard form.The equation of the circle is:(x – 5)² + (y + 4)² = 100

Answer from: champton79

The final equation is (x-5)^2 + (y+4)^2 = 10^2.

Hopefully this'll help you!

Answer from: Quest

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

Answer from: Quest

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

(x^4) ^ ¼ = 81 ^ ¼

81 = 3^4 so (3 ^ 4) ^ ¼ = 3 ^ 1 = 3

by hand: (3 ^ 4) ^ ¼ = 3 ^ (4 x ¼) = 3 ^ 1 = 3 (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

How to find a number whose 4th power is 81 quickly?

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Acircle is centered at the point (5,-4) and it passes through the point (-3,2). the equation of this...