Answer:
20 inches
Step-by-step explanation:
x/2=10
20/2=10
Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3
yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2
B=(xb,yb)→B=(-3,2)
Answer: B=(-3,2)
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
So we have the expression:

First, evaluate within the absolute value bars. 3 times -4 is -12. Thus:

Now, subtract:

The absolute value of -10 is positive 10. So:

And we're done!
<h3>Answer:</h3><h3>Exact volume =
32pi</h3><h3>Approximate volume =
100.48</h3>
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
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Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14