Mathematics, 26.11.2019 00:31 nhu78

What are the coordinates of the circumcenter of the triangle ?

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Answer from: ineedhelp2285

The answer to your question is (2, -1)

Step-by-step explanation:

1.- Find half points

Between A and B there are 6 units, then the half point is three units from point A to the right

(2, 3)

Between B and C there are 8 units, then the half point is four units below the point B.

(5, -1)

Xm = -1 + 5 / 2 = 4 / 2 = 2

Ym = 3 - 5 / 2 = - 2 / 2 = - 1

(2, -1)

2.- Find the equations of the mediatrices

x = 2 because the line must be perpendicuar to AB

y = - 1 because the line must be perpendicular to BC

slope m = $\frac{-5 - 3}{5 + 1}$

m = $\frac{-8}{6}$

m = $\frac{-4}{3}$

mediatrix AC

y + 1 = -4/3 (x -2)

3y + 3 = -4x + 8

4x + 3y = 8 - 3

4x + 3y = 5

3.- Find the circumcenter

When x = 2

4(2) + 3y = 5

8 + 3y =5

3y = 5 - 8

3y = -3

y = -3/3

y = -1

When y = -1

4x + 3(-1) = 5

4x - 3 = 5

4x = 5 + 3

4x = 8

x = 8/4

x = 2

Circumcenter (2, -1)

Answer from: Quest

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

Answer from: Quest

1,8,15,22,29,36,43,50

step-by-step explanation:

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