They are the same because the distance formula depends on a right triangle relationship between x and y, where as the right triangle has the same relationship with x being one leg of the right triangle and y the other leg of the right triangle
In this question, you have to use the Pythagorean theorem. (the formula is in the box, ‘a squared’ and ‘b squared’ is used to find the legs of the triangle, while the ‘c squared’ in the formula is used to find the hypotenuse of the triangle.
<span>(x – h)</span>2<span> + (y – k)</span>2<span> = r</span><span>2
h is your x value and the opposite of k is your y value. r is the radius
so, in the first equation, your center would be (-4,2) and the radius would be 5 because you take the square root of r
So plot (-4,2) and count 5 units left, right, up, and down from that point.
Do the same thing for the second circle. The center is (2,-1) and the radius is 5.6 units
The other graphs are pretty much the same way.
For number 7, plot the center and the other set of coordinates. Count the distance between the center and that point and that is your radius
For number 6, plot the center, and to get the radius, take half of the diameter.
For the last one you have to use the distance formula</span>
Answer:
What is the angle of rotation for this counterclockwise rotation about the origin?
answer:
270°
Step-by-step explanation:
