2 years ago

Fill in the blanks….

Mathematics

1 answer:

Alja [10]2 years ago

3 0

Answer:

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

What is the answer to question 3

levacccp [35]

The answer could be c or a

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Grant also buys bottled water and juice pouches for the picnic. There are

valentinak56 [21]

Answer:

60 of each

Step-by-step explanation:

water juice

12 10

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2 years ago

Help please show work

BARSIC [14]

Answer:

ok first you do the small one. 13 * 5 * 1/2 = 32.5 then you do 35 *1/2=17.5. you then divide 32.5/17.5=1.86

Step-by-step explanation:

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Solve the inequality. Show your work. |r + 3| ≥ 7

poizon [28]

R could equal any number, but it has to be higher than 4, because 3+4=7.

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3 years ago