Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Radius (R) is equal to the distance between the points (-2,1) and <span>(3,1)
R</span>² = (-2 - 3)² + (1 - 1)² = (-5)² + 0 = 25
R = 5
<span>Equation of the circle:
</span>(х-(-2))² + (у-1)² = 5²
(х+2)² + (у-1)² = 25
Answer:
C. -3/4, -2/3, 1/5
Step-by-step explanation:
Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.
-2/3 = -0.6666666 (the 6 goes on forever)
-3/4 = -0.75
1/5= 0.20
Then, you put them in order.
-3/4 would be the least .
Followed by, -2/3
Finally, 1/5