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allsm [11]
3 years ago
7

How do you solve this?

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:

Step-by-step explanation:

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Find the point(s) of intersection (if any) of the plane and the line. Also, determine whether the line lies in the plane. 2x - 2
s2008m [1.1K]

Answer:

the intersection is the point P=(x,y,z)=(8,9,14) and the line does not lie in the plane

Step-by-step explanation:

from the equation of the line

x - 1/2 = y + (3/2)/-1 = (z + 1) / 2  = t (parameter)

then the parametric equation of the line is

x= 1/2 +t

y =  (3/2) + t

z = (-1) + 2*t

therefore from the equation of the plane

2x - 2y + z = 12

2*(1/2 +t) - 2[(3/2) + t]  + [(-1) + 2*t]  = 12

1+2*t - 3 -2*t -1 + 2*t = 12

-3 + 2*t = 12

t= 15/2

therefore there is only one intersection of the line with the plane ( then the line does not lie in the plane , since there would be infinite intersection points). The intersection is

x= 1/2 +t = 1/2 +15/2 = 8

y =  (3/2) + t = (3/2) + 15/2 = 9

z = (-1) + 2*t =  (-1) + 2*15/2  = 14

thus the intersection point P=(x,y,z)=(8,9,14)

7 0
3 years ago
Help!!!!!<br> factor 3^2+15x-42
nydimaria [60]

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

8 0
2 years ago
Equation by elimination<br>-4x-9y=20<br>-2x-9y=-24
storchak [24]
I'm not 100% sure this is right but I think this is how you do it

5 0
3 years ago
N.p + p for n = 3 and p = 6
zheka24 [161]

Answer:

Hey there!

3.6+6

9.6

Let me know if this helps :)

4 0
3 years ago
NEED THE ANSWER ASAP
quester [9]
Not 100% sure this is right but
60cm^2
8 0
3 years ago
Read 2 more answers
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