The coordinates g(7,3), h(9, 0), (5, -1) form what type of polygon? an obtuse triangle an acute triangle o an equilateral triangle a right triangle

Is an acute triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

we have

G(7,3), H(9, 0), I(5, -1)

step 1

Find the distance GH

substitute in the formula

step 2

Find the distance IH

substitute in the formula

step 3

Find the distance GI

substitute in the formula

step 4

Verify what type of triangle is the polygon

we know that

If applying the Pythagoras Theorem

----> is a right triangle

----> is an obtuse triangle

----> is an acute triangle

where

c is the greater side

we have

substitute

therefore

Is an acute triangle

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

mr. india