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:
One decimal place to the left decimal point is the place.
Answer:
12) 154 squared meters
13) 307 cm^2
Step-by-step explanation:
12) A circle has area pi*r^2
r is half the diameter so half of 14 is 7
pi in this case is 22/7
A=22/7 * (7)^2
A=22/7 * 49
A=22 *49/7
A=22 *7
A=154 squared meters
13) Area of rectangle is 10(18)=180
Area of half a circle is .5*pi*r^2=.5*pi*9^2
Adding the two areas together would result in a total area of 307.2 squared centimeters
Answer: area 24 perimeter/circumstance 32 meters
Step-by-step explanation:
C the number of jeans the stock is reduced by from each sale