Let's plug in each coordinate and see what we get:
(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
Second question
<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the point A.
If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>
<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
But since it's triangular, you need to divide it by two. That gives you a total volume of
(3x4x4)/2 = 24.</span>
Answer:
30.8 miles per gallon
Explanation:
1.25 = 38.5
Divide both sides by 1.25
1 = 30.8
Answer:
22 1/2
Step-by-step explanation:
2/3x=15
x=15/2/3
x=15*3/2
x=45/2
Therefore, x=22 1/2
Answer:
x=2
SK=21
KY=13
SY=34
Step-by-step explanation:
finding x:
SK+KY=SY
13x-5+2x+9=36-x
get x by itself
13x+2x+1x=36+5-9
simplify
16x=32
divide by 16 on both sides
x=2
Now plug in x (2) into the separate formulas
SK:
13(2)-5
26-5
21
KY:
2(2)+9
4+9
13
SY:
36-(2)
34
To double check your answer plug in what you got
SK+KY=SY
21+13=SY
34
and we got 34 above so this is correct.
