There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as 
. The formula is as shown below:
Area=
Now, in our case, we have: 
, and
Thus, the area in this case will become:
Area=
Therefore, Area=![\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5B%5B3%28-1%5Ctimes%201-%28-5%29%5Ctimes%201%5D-3%5B3%5Ctimes%201-%28-2%29%5Ctimes%201%5D%2B1%5B3%5Ctimes%20-5-2%5D%5D%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-20%3D-10)
We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.
Answer: D
Step-by-step explanation:
d. translation 1 unit left & 1 unit up
right on edg
Answer:
4.05xy-4x+56y+9.23
Step-by-step explanation:
simplify the expression
12 is the greatest common factor.
2 1/2 yards of ribbon is 7 1/2 feet. (3 feet per yard)
She had 2 feet 8 inches left over after using a certain amount for the curtains.
So 2 feet 8 inches converted to fractions is 2 2/3 feet.
So our answer is the difference between 7 1/2 and 2 2/3 which is 4 5/6 feet.
Convert 4 5/6 feet to inches (12 inches in 1 feet) gives us a final answer of
58 inches.
