D.8
A and C are out because they would get you ether lower or equal to 20, which is equal to AC and your trying to find X in AB which is so posed to be the what equals AC+BC.
AB=AC+BC
5x=20+BC
5(8)=20+BC
40=20+BC
40=20+20
AC equals 20. AB will have to equal AC+ CB. If you put in A.4 in AB 5X you will get twenty and that not what you want. You want to get a number that will get you the an answer greater to AC. So 5(8)=40.
The area of the surface is 144.708
The equation of the given surface is,
z=g(x,y)=xy
Solving the partial derivatives,
∂g∂x=y,∂g∂y=x
Substituting to the formula
S=∬√1+( ∂g∂x)2+(∂g∂y)2dA
Thus,
S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA
The region in the XY-plane is defined by the intervals 0≤θ≤2π,0≤r≤4
Converting the integral into polar coordinates,
S=∫2π0∫40√1+r2rdrdθ
Integrating with respect to r
S=∫2π0[13(1+r2)32]40dθ
S=∫2π0(17√173−13)dθ
Integrating with respect to θ
S=(17√173−13)[θ]2π0
S≈144.708
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Step-by-step explanation:
10 2/3 + 3 1/3 = 10 + 3 + 2/3 + 1/3 = 13 + 3/3 = 13 + 1 = 14
Answer:
Step-by-step explanation:
The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.
The ormua for calculating mid point is expressed as;
M(X,Y) ={(x21+x2/2, y1+y2/2}
X= x1+x2/2
Y = y1+y2/2
From the coordinates
x1 = 18 x2 = 4
X= 18+4/2
X = 22/2
X = 11
y1= -13, y2= -3
Y = -3-13/2
Y = -16/2
Y = -8
Hence the required centre will be at (11,-8)
I thank it is a. yards i am no sure that is right