Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
Answer:
simplify
Step-by-step explanation:
Traditional 1/2 * base * height
Heron’s formula (it’s quite lengthy so search it up)
Hope this helped you :)
Interest rate = 5.25%
<u>Step-by-step explanation:</u>
Simple Interest = Pnr = 4252.50
n = time = 54 months = 4.5 years
r = rate of interest = ?
P = 18,000
r = SI/Pn = 4252.50 / 18000× 4.5
= 0.0525 = 5.25%
3x - 10 = x + 4 <== ur equation
three times a number.....3x...with the x representing the number
ten less....3x - 10
is the same as...means =
that number (x) increased by 4....x + 4
so we have 3x - 10 = x + 4...
3x - 10 = x + 4
3x - x = 4 + 10
2x = 14
x = 14/2
x = 7....and that number is 7
