A circle centered at the origin contains the point
(0, -9). Does (8, 17) also lie on the circle? Explain.
c
O No, the distance from the center to the point
(8, 17) is not the same as the radius.
+
O No, the radius of 10 units is different from the
distance from the center to the point
(8, V17).
-10
-8
-6
-4
-2
10
O
Yes, the distance from the origin to the point
(8. 17) is 9 units.
O
Yes, the distance from the point (0, -9) to the point
(8, 17) is 9 units.

Yes, the distance from the origin to the point (8,√17) is 9 units.

Step-by-step explanation:

The equation of a circle centered at the origin with radius , r has equation:

Since the circle passes through (0,-9), the radius is 9 units because (0,-9) is 9 units from the origin.

We substitute the radius to get:

If (8,√17) lies on this circle, then it must satisfy this equation:

This is True.

This means the distance from (8,√17) is 9 units from the origin.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316