A3^2+4=1604
a3=40
a2^2+4=40
a2=6
a1^2+4=6
a1=√2
So the first two terms are √2 and 6, answer C
Answer:
Step-by-step explanation:
<h3> Reciprocal:</h3>
<h3>Additive inverse:</h3>
Now multiply,
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.
Volume of cylinder: πr²h
π2.5²(20) = 392.7 cm³
Volume of sphere: 4/3πr³
4/3π2.5³ = 65.45 cm³
392.7 - 65.45 = 327.25
The amount of space in the container unoccupied by the rubber balls is 327 cm³.
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
Answer:
8/27
Step-by-step explanation:
