√(3*15)=√45=√[5*3^(2)]=3√5
Answer:
B: (-8/3 , 8)
Step-by-step explanation:
A (x₁,y₁) (4,-7) and C (x₂,y₂) (-4,11), B (x,y)
AB (a):BC (b) = 5:1
x = (bx₁ + ax₂) / (a+b) = (1*4+5*-4) / (5+1) = -16/6 = - 8/3
y = (by₁ + ay₂) / (a+b) = (1*-7+5*11) / (5+1) = 48/6 = 8
B: (-8/3 , 8)
Answer:
c=-6
Step-by-step explanation:
I used a calculator and paper and a pencil d---------b yeah :D yr welcome
Ok, so you would want to simplify both sides of the equation
(-1/3)(-12) + (1/3)(-12c)=-20 (here you distribute)
4+4c=-20
Then, subtract 4 from both sides
4c+4-4=-20-4
4c=-24
Then divide both sides by 4
4c/4=-24/4
c=-6
The correct option will be the last one: 
<em><u>Explanation</u></em>
The general equation for sinusoidal function is: 
, where 
Amplitude, 
frequency and 
y-intercept
Here the maximum value is 15 and the minimum value is -3. So, the distance between maximum and minimum values is 18. That means, the Amplitude, 
Frequency 
is given as 3 and y-intercept
is 6
So, the required function will be:
Answer:
9 seconds
Step-by-step explanation:
d=-16t²+vt+h
The water level will be at 0 level (distance = 0)
0 = 16t² - 90t - 486
8t² - 45t - 243 = 0
(t - 9) (8t + 27) = 0
t = 9 or t = -27
since time should be a positive number, so t = 9 second
