Find the circumcenter of the triangle ABC.
A(-6, - 8), B(4. – 5), C(-6,-5).
The circumcenter is
(Type an ordered pair.)

The circumcenter is (-1 , -6.5)

Step-by-step explanation:

the circumcenter is the point where the perpendicular bisectors of a triangle intersects.

See the attached figure

A(-6, - 8), B(4. – 5), C(-6,-5).

As shown at the graph ΔABC is aright triangle at C

The perpendicular bisector of AC is the line y =-6.5

The perpendicular bisector of  BC is the line x = -1

The intersection between y =-6.5 and x = -1 will be the point (-1,-6.5)

So, The circumcenter is (-1 , -6.5)

Another solution:

As the graph represents a right triangle.

The circumcenter of a right triangle lies exactly at the midpoint of the hypotenuse

The hypotenuse is the line segment AB

The midpoint of AB = (A + B)/2 = [(-6, - 8) +(4. – 5)]/2 = (-2,-13)/2 = (-1 , -6.5)

So, The circumcenter is (-1 , -6.5)

i cant see the graph

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.