Answer:
Answer:
Step-by-step explanation:
Step-by-step Explanation:
Multiply entire equation by (x-2)(x+1) to get rid of the denominators That would lead to X(x+1)+(x-1)(x-2)=-1(x-2)(x+1)
Finally, using distributive property and foil, you would get x^2+x+x^2-3x+2=(-x^2+x+2).2x^2-2x+2=-x^2+x+23x^2-3x=0
3x(x-1)x=0 and x=1
Hey! Good Morning! (if its morning for you) Easy way to figure these things out is to just graph them an take a look. Since we know this is a parallelogram, we can use the basic rules of them to know for sure where that one last point is. (Or we can use the first way, your choice) So just by graphing those points and looking at the incomplete stricter it created,
We can know the last point lies at (0, 2) (I put this spaced so you don't have to read my entire message lol) Hope this helps and good luck!
<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>