the sides of a square each have a length of 11x inches write an expression for the perimeter of the square in inches
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Then rearrange the equation to get 10x on the same side as 25.
Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.
Continuing on once rearranged, your equation will look like,
Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
Dividing both sides by 2, you will get,
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.