18. A circle in the standard (x, y) coordinate plane is tangent to the x-axis at 4 and tangent to the y-axis
at 4. Which of the following is an equation of the
circle?
F. (x – 4)2 + (y – 4)2 = 16
G. (x + 4)2 + (y + 4)2 = 16
H. (x – 4)2 + (y – 4)2 = 4
J. x2 + y2 = 16
K. x2 + y2 = 4

9514 1404 393

  F

Step-by-step explanation:

If the circle is tangent to the x-axis at 4, the center lies on the line x=4.

If the circle is tangent to the y-axis at 4, the center lies on the line y=4.

If the center of the circle is (x, y) = (4, 4) and it is tangent to the axes, then the radius is 4.

The standard-form equation of the circle centered at (h, k) with radius r is ...

  (x -h)² +(y -k)² = r²

For the values (h, k) = (4, 4) and r = 4, the equation is ...

  (x -4)² +(y -4)² = 16 . . . . . . matches choice F

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)