The standard equation of a circle is
,
where (a, b) is the center of the circle, and r is the radius.
So, if we write
in the above form, the center and the radius will be obvious to us.
Note that
is very close to
except for the 1.
Similarly, we notice that
is like
, without the 16.
So,
.
Answer:
First you have to change your equation to slope-intercept form.Make everything equal to y, do y=-(4x/3)+(8/3). Parallel lines means that slope is the same. In this case, your equation will have the slope m=4/3. Then you would plug in your given point into y=(4x/3)x+b, so it would like -2=(4(4)/3)+b. Solve for "b," and plug into this equation: y=(4x/3)+b. That would your final answer.
42. The mean is the total of the numbers divided by the amount of numbers. In this case the amount of numbers is 7 and the mean is 6. That means that the total of the numbers divided by 7 equals 6. To find the total you just do the opposite, multiply 7 by 6 and you get 42.
22 and 7, 22-7 is 15, and 22+7 is 29