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mamaluj [8]
3 years ago
6

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 9) and pe

rpendicular to the plane x + 2y + z = 7
Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

r=<1,0,9>+t<1,2,1>

and

x=1+t

y=2t

z=9+t

Step-by-step explanation:

A vector perpendicular to the plane :

ax+by+cz+d=0

is given by (a,b,c)

So a vector perpendicular to given plane will have :

(1,2,1)

The\ parametric\ equation\ of\ a\ line\ through\ (1,0,9)\ and\ parallel\ to\ vector\ (a,b,c) is\ given\ by:\\x=x_0+ta\\y=y_0+tb\\z=z_0+tb\\x=1+t(1)\\x=1+t\\y=0+t(2)\\y=2t\\z=9+t(1)\\z=9+t\\The\ vector\ form\ is:\\r=+t ..

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Step-by-step explanation:

\angle AOB and \angle BOC are linear pair angles.

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3 years ago
If f(x) = - x + 4 and g(x) = x ^ 2 - 5 , then f(g(-2))=?
kkurt [141]

Answer:

Step-by-step explanation:

using your f(x) I want to show you how to plug in different things itnot he function.

f(x) = -x + 4

f(1) = -1 + 4 = 3

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Does that help?  what if you replaced h(x) with g(x)?  Of course you already have that x so you could make it a little simpler as well.  Let me know if you don't quite get it.

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3 years ago
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Answer:

Options: A, B, and C correctly solve for x.

Step-by-step explanation:

A).

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Multiplying both sides by 2 gives;

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x = 15 ÷ 5 = 3

∴ This option correctly solve for x.

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∴ This option correctly solve for x.

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But the option give x as 5/6 hence this option does not correctly solve for x.

D).

5x = 11/2

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But the option gives x as 10/11 so it does not correctly solve for x.

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zhuklara [117]

Answer:


Step-by-step explanation:

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