Find the Incenter: Given A (-4,2), B(4,5), and C(3,-1) Rounded to the nearest hundredth.

9514 1404 393

  (1.43, 1.87)

Step-by-step explanation:

The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.

  BC = √((4-3)^2 +(5+1)^2) = √37

  AC = √((-4-3)^2 +(2+1)^2) = √58

  AB = √((-4-4)^2 +(2-5)^2) = √73

Then the incenter is ...

  (A(BC) +B(AC) +C(AB))/(BC +AC +AB)

  ≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425

  ≈ (1.42808, 1.87480)

Rounded to hundredths, the incenter is (1.43, 1.87).

452,489 to the nearest thousand is 452,000

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: