Answer:
2
Step-by-step explanation:
2 is the smallest you can get fir it to be a proper triangle
Answer:
When y = 15, x = -5.
Step-by-step explanation:
"y varies directly with x" signifies the linear relationship y = kx, where k is the constant of proportionality.
Substituting 6 for y and -2 for x into this equation yields the value of k:
6 = k(-2), or k = -6/2, or k = -3
Then the proportional relationship is y = -3x.
If y = 15, then we can write 15 = -3x, or x = -15/3, or x = -5.
When y = 15, x = -5.
Given:
The graph of a line.
To find:
The equation for the given line.
Solution:
If a line passes through two points, then the equation of the line is:
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
From the given graph it is clear that the line passes through the points (-1.5,0) and (0,1). So, the equation of the line is:
![y-0=\dfrac{1-0}{0-(-1.5)}(x-(-1.5))](https://tex.z-dn.net/?f=y-0%3D%5Cdfrac%7B1-0%7D%7B0-%28-1.5%29%7D%28x-%28-1.5%29%29)
![y=\dfrac{1}{1.5}(x+1.5)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B1.5%7D%28x%2B1.5%29)
![y=\dfrac{1}{1.5}(x)+\dfrac{1}{1.5}(1.5)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B1.5%7D%28x%29%2B%5Cdfrac%7B1%7D%7B1.5%7D%281.5%29)
![y=\dfrac{1}{1.5}x+1](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B1.5%7Dx%2B1)
Therefore, the equation of the given line is
.
Answer:
y≥2-4
Step-by-step explanation:
Simplify your equation.
4x-2y≤8
-4x -4x
-2y≤-4x+8
/-2 /-2
y≥2-4