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PilotLPTM [1.2K]
3 years ago
11

Which statements about the line that passes through (-2,0) and (2,-4 are true? select all that apply

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

Step-by-step explanation:

b and c are correct

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A teachers desk is 5.5 meters long a students desk is 220 centimeters long what is the difference in the length in centimeters b
Mama L [17]

so if 5.5 is in meter let change it to cm because the question want us to give the answer in cm.

1cm = 0.01meter

to \: turn \: meters \: into \: \\  cm \: we \: have \: to \: multiply \:  by \: 100

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next we subtract 550 - 220= 330.

finally, the difference between a teacher and student is 330cm .meaning the teacher's desk is 330 cm longer or taller than the student.

7 0
3 years ago
Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.
IceJOKER [234]
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1
(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2
(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18

Now that we know the vertices of the surface \mathcal S, we can parameterize it by

\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle

where 0\le u\le1 and 0\le v\le1. The surface element is

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv

With respect to our parameterization, we have x(u,v)=(1-u)(1-v), so the surface integral is

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3
5 0
3 years ago
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