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:
for $5 plan if he rents 47 dvd it will pay 47% as one DVS cost 1 $ .
Step-by-step explanation:
<span>a scalene triangle: a triangle where all the sides are different and all the angles are different.</span>
Answer:
B. 15
Step-by-step explanation:
<em>The chances of </em><em>randomly</em><em> </em><em>selecting</em><em> </em><em>keys</em><em> </em><em>for</em><em> </em><em>a</em><em> </em><em>sports</em><em> </em><em>car</em><em> </em><em>or</em><em> </em><em>convertible</em><em> </em><em>is</em><em> </em><em>5</em><em>/</em><em>4</em><em>0</em><em> </em><em>since</em><em> </em><em>there</em><em> </em><em>are</em><em> </em><em>a</em><em> </em><em>total</em><em> </em><em>of</em><em> </em><em>5</em><em> </em><em>sports</em><em> </em><em>and</em><em> </em><em>convertible</em><em> </em><em>car</em><em> </em><em>keys</em><em> </em><em>and</em><em> </em><em>a</em><em> </em><em>total</em><em> </em><em>of</em><em> </em><em>4</em><em>0</em><em> </em><em>keys</em><em> </em><em>overall</em><em>.</em><em> </em><em>We</em><em> </em><em>then</em><em> </em><em>multiply</em><em> </em><em>that</em><em> </em><em>5</em><em>/</em><em>4</em><em>0</em><em> </em><em>by</em><em> </em><em>1</em><em>2</em><em>0</em><em> </em><em>because</em><em> </em><em>Sam</em><em> </em><em>randomly</em><em> </em><em>selects</em><em> </em><em>a</em><em> </em><em>key</em><em> </em><em>1</em><em>2</em><em>0</em><em> </em><em>times</em><em>.</em><em> </em>
5/40 × 120 = 15
Answer:
c
Step-by-step explanation:
