Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,

In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,

AB = EF + CI = 
Answer:
y = -5x - 23
Step-by-step explanation:
Point-slope form:
y - 7 = -5(x + 6)
rearrange:
y - 7 = -5x - 30
y = -5x - 23
Answer:
After 2.5 minutes the pool will have 27 gallons of water.
Step-by-step explanation:
The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.
The water is flowing at a rate of 6 gallons per minute.
Let, after t minutes the pool will have at least 27 gallons of water.
Therefore, we can write the equation as
27 = 12 + 6t
⇒ 6t = 15
⇒ t = 2.5 minutes.
Therefore, after 2.5 minutes the pool will have 27 gallons of water. (Answer)
9x² - 12x + 4
write the equation with two middle terms that multiply to give 36
9x² - 6x - 6x + 4
by factorisation
3x(3x - 2) - 2(3x - 2)
(3x - 2)²
Thus OPTION A