3 years ago

Find the area of the composite shape below.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

4,368 please I hope it is correct I used a calculator

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Step-by-step explanation:

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

ELEN [110]

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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2 years ago

A small box of nails was 10 2⁄8 inches tall. If the large box of nails was 2 2⁄5 inches taller, how tall is the large box of nai

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Answer:

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Step-by-step explanation:

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3 years ago

Find the ratio of 15 cm and 9 mm

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Answer:

3:5 is the answer of your question

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Answer:

Im pretty sure its a :3

Step-by-step explanation:

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