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>
The sum of 4.35 and -5.66
Answer:
w = -10
Step-by-step explanation:
w + 4 = (-6)
Subtract 4 from each side
w+4-4 = -6-4
w = -10
Answer:
y-intercept (0,11/5)
x-intercept (11/2,0)
Step-by-step explanation:
The y-intercept is obtained when the x-coordinate equals 0 (x=0)
so the y-intercept is (0,11/5)
The x-intercept is obtained when the y-coordinate equals 0 (y=0)
In this case
0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2
So the x-intercept is (11/2,0)
