Y - y1 = m(x - x1)
slope(m) = -3/7
(5,8)...x1 = 5 and y1 = 8
now we sub
y - 8 = -3/7(x - 5) <===
A, dilation because the shape got larger. The other three options just move it around
<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>
The activation energy for the forward and the one for the reverse
reaction are similar because they attained chemical equilibrium. A chemical
equilibrium happens when both of the reactant and products achieve the same
concentration.
First turns those into fractions, now you should have 4/5 and 1/5.
Now to generate a chance the 2 events will happen in a row (Like rain and a postponed game) you need to multiply the 2 fractions together so it should come out with 4/25 or 16%