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Vinvika [58]
2 years ago
8

R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.​

Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

\sf (x+2)^2+(y-2)^2=2

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)

             \sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)

             \sf =(-2, 2)

Equation of a circle:   \sf (x-h)^2+(y-k)^2=r^2

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

\sf \implies (x-(-2))^2+(y-2)^2=r^2

\sf \implies (x+2)^2+(y-2)^2=r^2

To find \sf r^2, simply substitute one of the points into the equation and solve:

\sf \implies (-3+2)^2+(1-2)^2=r^2

\sf \implies 1+1=r^2

\sf \implies r^2=2

Therefore, the equation of the circle is:

\sf (x+2)^2+(y-2)^2=2

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What number could be added to 0.40 ml for the level of precision to be 0.01 ml? check all that apply 0.2 ml 0.154 ml 6 ml 2.02 m
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The following volumes of fluid can be added to 0.40 mL of liquid for the level of precision of 0.01 mL: a) 0.2 mL, b) 6 mL, c) 2.02 mL. The amounts 0.154 mL and 8.8331 mL are not possible due to given level of precision.

<h3>What is the amount of liquid to be added to sample according to a given precision?</h3>

If the measuring has a level of precision of 0.01 ml, this means that the <em>measured</em> quantities are only sensible to the <em>smallest</em> hundreths. Any change less than 0.01 ml and any decimal less than a hundreths are "invisible" for measuring processes.

Hence, the following volumes of fluid can be added to 0.40 mL of liquid for the level of precision of 0.01 mL: a) 0.2 mL, b) 6 mL, c) 2.02 mL. The amounts 0.154 mL and 8.8331 mL are not possible due to given level of precision.

To learn more on precision: brainly.com/question/1311561

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