Find the coordinates of the circumcenter for ∆def with coordinates d(1,3) e (8,3) and f(1,-5). * show all work!

Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.

1. Distance OD=distance OE, then:

.

2. Distance OD=distance OE, then:

.

Solve the system:

,

,

.

Then

.

the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.