Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as
Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:
but h = 2r
Hence we have
We can divide the two volumes to get a constant that links them together
this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
7.8 or if you are rounding it’s eight
Answer:
vertex is (4,-4) and another point is (6,0) or you could use (2,0) or many other options :)
Step-by-step explanation:
The cool thing about this question your quadratic is in factored form so your x-intercepts are easy to figure out, they are 2 and 6.
So you can plot (6,0) and (2,0).
The vertex will lie half between x=2 and x=6... so it lays at (6+2)/2=4
We just have to find the y-coordinate for when x=4.
Plug in 4 gives you (4-2)(4-6)=(2)(-2)=-4.
So the vertex is at (4,-4).
Answer:
d = 17
Step-by-step explanation:
d = √ (9 − 1) 2 + (15− 0)^2
d = √ (8) ^2 + (15) ^2
d = √ 64 + 225
d = √289
d = 17
Answer:
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+11-(21)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
6x - 10 = 2 • (3x - 5)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : 3x-5 = 0
Add 5 to both sides of the equation :
3x = 5
Divide both sides of the equation by 3:
x = 5/3 = 1.667
One solution was found :
x = 5/3 = 1.667
