Answer:
I can't see the triangles give me the coordinates
Step-by-step explanation:
<span>(-5c - 3) - 2 = -10c + 20
-5c - 5 = -10c + 20
10c - 5c = 20 + 5
5c = 25
c = 25/5
c = 5
In short, Your Answer would be 5
Hope this helps!</span>
Answer:
Step-by-step explanation:
Answer:
x^2 +y^2 -40x -24y -81 =0
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
Assuming that Pamela's cabin is the center
( x-20)^2 + (y- 12)^2 = 25^2
We want to get to general form
x^2 + y^2 + Dx + Ey + F = 0,
Distributing
x^2 -40x +400 + y^2 -24y +144 = 625
x^2 +y^2 -40x -24y +544 -625 =0
x^2 +y^2 -40x -24y -81 =0
A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:

Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:

And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue: