Mathematics: What is the distance between centers of two circles given the centers are (5, -4) and (-4, 2)? round to the nearest tenth.

Answer is 35Steps1. 2+5 = 72. Start the division then multiplication in order 25 / 5 = 53. 5 x 7 = 35Hope that makes sense. Answer is 35...

What is the distance between centers of two circles

Gloryreak3728

08.01.2022

10.8 units.

Step-by-step explanation:

Given:

Centers of two circles are (5,-4) and (-4,2) .

Distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Distance, $D=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Here, $(x_{1},y_{1})$ is (5,-4) and $(x_{2},y_{2})$ is (-4,2) .

Plug in these values and calculate the distance between these 2 points.

Distance between the centers is given as:

$D=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\ D=\sqrt{(-4-5)^{2}+(2-(-4))^{2}}\\ D=\sqrt{(-9)^{2}+(6)^{2}}\\ D=\sqrt{81+36}\\ D=\sqrt{117}=10.8$

Therefore, the distance between the centers of the two circles is 10.8 units.

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