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: 12√2
Step-by-step explanation:
This is a 45-45-90 triangle. In this triangle, a and b are equal lengths, therefore hypotenuse, c, is x√2.
Since a and b is 12, c is 12√2.
soln,
here area of base = 25/4 unit ^ 2
height of the prism = 8/5 unit
so,
volume of prism = area of base x height of the prism
so the volume of the prism is 10 unit^2
Answer: The measure of angle A is 59 degrees.
When you have a quadrilateral inscribed in a circle the opposite sides are always supplementary (add to 180). Given the order of the vertices of our quadrilateral, we know that A and C are opposite.
Therefore, we can write and solve the following equation.
A + C = 180
A + 121 = 180
A = 59 degrees
Answer:
9s^2 + 17g - 12
Explanation:
(basically combine like terms)
the s^2 are like terms, so that would get you 18s^2 - 9s^2 = 9s^2
then the g’s are like terms,
15g + 2g = 17g
then the -12 is all on its own
if you put it all together:
9s^2 + 17g - 12
