Ratio is the comparison of sizes of two quantities of the same unit. Proportions are the equality of two ratios. A/b =c/d
Answer:
<em>See attached</em>
<u>Numbers are either negative or greater tan 5:</u>
- x < 0 and x > 5
- or
- x = (-∞, 0) ∪ (5, +∞)
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>
Let us consider the given expression:
in the scientific notation.
= 
[Using the law of exponents, which states
]
= 
On dividing, we get
= 
Hence, it is the required scientific notation of the given expression.
A triangle with 2 congruent sides is an <u>ISOSCELES</u> triangle.
Answer: Isosceles
FYI: A triangle with 3 congruent sides is an equilateral triangle.
