Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or 
In this problem we have
y=18 when x=2
Find the value of the constant of proportionality k
----> 
therefore
The equation is equal to

Answer:

Step-by-step explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5:

Add 65 and 85
65+85= 150
Next subtract 180-150
The answer is 30, so that is the missing angle is 30.
The side opposite to 30 is the shortest side
Here I added the picture!
Answer:
We'll need 2 points so we'll choose (-6, 0) and (0, -3).
Let's calculate the slope (or 'm') using
Slope or m = (Y2 -Y1) ÷ (X2 -X1)
Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2
Then we calculate the equation using:
(y - y1) = m • (x -x1)
(y - 0) = -1/2 * (x - -6)
y = -1/2 x -3
Source: http://www.1728.org/distance.htm
Step-by-step explanation: