Acircle centered at (–1, 2) has a diameter of 10 units. amit wants to determine whether (2, –2) is also on the circle. his work is shown below.
the radius is 5 units.
find the distance from the center to (2, –2).

the point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.

Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.

Step-by-step explanation: Given center of the circle (-1,2) and diameter 10 units and a point (2,-2).

Radius of the circle is half of the diameter.

So, the radius = 10/2 = 5.

Therefore, first step Amit applied is correct.

Second step is also correct to check if the distance between center (-1,2) and given point (2,-2) is same as length of radius.

Let us check what is the distance between enter (-1,2) and given point (2,-2).

In third step, Amit didn't find equal distance between center (-1,2) and given point (2,-2) same as radius 5.

But it is same.

0.32

step-by-step explanation:

2.24/7

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.