Mathematics: Which point lies on a circle that is centered at a(-3, 2) and passes through b(1, 3)? c(-1, -2) d(-6, 3) e(-3, -3) f(-2, 6)

Which point lies on a circle that is centered at

Ответ:

ddhsjhs9350

02.01.2022

The equation of a circle:
(x-h)^2+(y-k)^2=r^2

(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } A(-3,2) \\
h=-3 \\ k=2 \\ \\
\hbox{the equation:} \\
(x+3)^2+(y-2)^2=r^2 \\ \\
\hbox{the circle passes through B(1,3)} \\
x=1 \\ y=3 \\ \Downarrow \\
(1+3)^2+(3-2)^2=r^2 \\
4^2+1^2=r^2 \\
16+1=r^2 \\
17=r^2 \\ \\
\hbox{the equation is:} \\
(x+3)^2+(y-2)^2=17$

Plug the coordinates of the points into the equation and check:
$C(-1,-2) \\
(-1+3)^2+(-2-2)^2=17 \\
2^2+(-4)^2=17 \\
4+16=17 \\
20=17 \\
not \ true \\ \\
D(-6,3) \\
(-6+3)^2+(3-2)^2=17 \\
(-3)^2+1^2=17 \\
9+1=17 \\
10=17 \\
not \ true$

$E(-3,-3) \\
(-3+3)^2+(-3-2)^2=17 \\
0^2+(-5)^2=17 \\
25=17 \\
not \ true \\ \\
F(-2,6) \\
(-2+3)^2+(6-2)^2=17 \\
1^2+4^2=17 \\
1+16=17 \\
17=17 \\
true$

The answer is F(-2,6).

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Ответ:

OnlineSchool

10.09.2021

Mathematics

$11.00

Because .70 + .10 = .80

.80 times 55 = 44

55 - 44 = 11

If you add tax however, it would be 11.66.

Because 11 times .06 = .66

.66 + 11 = 11.66

Step-by-step explanation:

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Which point lies on a circle that is centered at a(-3, 2) and passes through b(1, 3)?
c(-1, -2)
d(-6, 3)
e(-3, -3)
f(-2, 6)

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