9514 1404 393
Answer:
20.3
Step-by-step explanation:
The distance formula can be used to find the side lengths.
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the first two points, ...
d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83
For the next two points, ...
d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06
For the last and first points, ...
d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40
Then the sum of the side lengths is ...
5.83 +8.06 +6.40 = 20.29 ≈ 20.3
The perimeter of the triangle is about 20.3 units.
ANSWER
She can make 19 batches of oatmeal.
EXPLANATION
First we can change the mixed number into an improper fraction:

In this problem, r = 2/3. The division is:

Using the KFC rule:

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.
Answer:
v=-3/5
Step-by-step explanation:
9 = v + 4 v + 12
=>5v=9-12
=>v=-3/5
Answer:
6yx2
Step-by-step explanation:
brackets means multiply hence -x×3y×-2x
Angle QRT is an exterior angle to the triangle. The rule is that the exterior angle of a triangle is equal to the sum of its remote interior angles. Those remote interior angles are angle RTS and angle TSR. So our equation is

. We can remove the parenthesis and simplify by combining like terms to get 9x = 5x + 9 + x and 9x = 6x + 9 and 3x = 9. That means that x = 3.