Question

Help how to you solve this!!!

Answer 1

The general equation of a plane is Ax + By + Cz = D, where A, B, C and D are real numbers and A is nonnegative. Find the equation of the plane containing the points (3, 0, 0), (0, 8, 0), and (0, 0, 6). Show each step of your process. Then graph the plane.
Answer:
Equation: ________________________

Answer 2

Work this problem as 3 equations and 3 unknowns:

Rewrite the standard equation like this: A/Dx + B/Dy + C/Dz = 1
To clean this up I used new variables: A/D = m, B/D = n, and C/D = o
So: mx + ny + oz = 1
Now put each point onto this equation:
3m + 0 + 0 = 1
0 + 8n + 0 =1
0 + 0 + 6o = 1

In this case you can solve each directly, otherwise you could use substitution.

m = 1/3
n = 1/8
o = 1/6

Put these values in the cleaned up equation:

1/3 x + 1/8 y + 1/6 z = 1

This is in standard form, however you can multiply each term by 24 to remove fractions:

8x + 3y + 4z = 24.

Answer 3

This may help

Answer 4

is that really it @Mahoganie.Carson

Answer 5

oh i forgot to ask how do you graph the equation

Answer 6

I'm not sure but this is what i did i'm going to do it again to see

Answer 7

ok

Answer 8

(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2

(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6

(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5

plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients,
multiply through by 30

so we get
15x + 5y + 6z = 30
as our answer :)

Answer 9

Or it could be this i should ask johnyy9 to see if i'm right

Answer 10

ok thank you :)

Answer 11

Welcome :) You Get It Right?

Answer 12

@johnyy9 can you help

Answer 13

Yeah He Helps Everyone

Answer 14

im not sure if i got it right my teacher didnt give me a key

Answer 15

Hold I'll at Someone

Answer 16

ok

Answer 17

@Jaynator495 Can You See If One Of My Answers Is Right Please :)

Answer 18

maybe we can work on this other problem

Answer 19

Did you ask your teacher? or is anyone there home with you that can help you?

Answer 20

no i dont have anyone to help me thats why im here

Answer 21

Well i dont know what to do i'll at johnyy9 when he get on that's the first thing he see

Answer 22

@jhonyy9 Can You See If One Of My Answers Are Right Please :)