Answer:
B) ( x+3)² - 5
Step-by-step explanation:
Given expression
x²+6x+4
Adding '9' and subtracting '9' of given expression
⇒ x² + 2 (3) (x) +(3)² -(3)² +4
(a + b)² = a² + 2 a b + b²
⇒ ( x+3)² - 9 +4
⇒ ( x+3)² -5
Answer:
Use your distribution skills, you wanna get x all by itself.
Step-by-step explanation:
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
D = rt, Distances Equal
72t = 90(t-1)
90 = 18t
90/18 = t = 5hr
second car catch up to the first in 4hrs
It’s 100°! I cause 75+75 = 150 and if the circle is 350 then 150-350 = 200 and 200÷2 is 100
