Question

Is my answer correct??? WILL GIVE MEDAL AND FAN!!!!!

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:


(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

Equation: 15x + 5y + 6z = 30

Answer 2

Could check my answer @TheSmartOne

Answer 3

You plugged in points that weren't even given to you...?

Answer 4

Other than that, the process is correct.

Answer 5

really

Answer 6

then how is it suppose to be put in

Answer 7

one sec I'm going to see if I can do it correctly

Answer 8

(3, 0, 0)
-> 3A + 0 + 0 = D
-> 3A = D
-> A = D/3

(0, 8, 0)
-> 0 + 8B + 0 = D
-> 8B = D
-> B = D/8

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

@TheSmartOne now what

Answer 9

Can you help
@imqwerty

Answer 10

Plug it into the equation. And solve for D.

Answer 11

i not sure how to do that correctly

Answer 12

Oh wait, we don't solve for d. We divide by d and get an equation which is our anseer.

Answer 13

so how do you do that correctly

Answer 14

(d/3)x + (d/8)y + (d/6)z = d

Divide both sides by d.

Answer 15

ok so how do i find d

Answer 16

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

Answer 17

@TheSmartOne where did you go???

Answer 18

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

Answer 19

now i need to find integer coefficients

Answer 20

does 2 work

Answer 21

Now, multiply both sides by 24.

Answer 22

24? how did you get that?

Answer 23

(x/72)+ (y /192)+ (z/144)= 24

Answer 24

oh i see now 24 is the coefficient

Answer 25

did i multiply the sides correctly

Answer 26

No, you divided by 24, not multiplied by 24.

Answer 27

And 24 is the LCM of 3, 6, and 8. We want to get rid of the fractions so we multiply by 24.

Answer 28

so how is suppose to look like

Answer 29

Like an equation

Answer 30

could plz help me do it I forgot how to do that:(

Answer 31

24* (x/3 + y/8 + z/6) = 1 * 24

Simplify it.

Answer 32

8x+3y+4z=24

Answer 33

I get it now!!!

Answer 34

so now i have to graph it. i show it to you after im done

Answer 35

is this correct @TheSmartOne

Answer 36

I'm not sure how to graph this @skittles_for_life6422

Answer 37

oh its a three-dimensional graph

Answer 38

I know, that's why I don't know how to do it :p

@skittles_for_life6422

Answer 39

thats ok thanks you soo much for all your help

Answer 40

Anytime! @skittles_for_life6422