Answer:
4 units
Step-by-step explanation:
A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?
A triangle is a polygon with three sides and three angles.
The distance between two points
on the coordinate plane is given by:
![Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:
![DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units](https://tex.z-dn.net/?f=DF%3D%5Csqrt%7B%28-1-3%29%5E2%2B%28-3-%28-3%29%29%5E2%7D%3D4%5C%20units)
The correct answer is c
4x - y = 3d
add y to both sides
4x = 3d + y
divide both sides by4
x = 3d+y/4
we have
------> inequality A
The inequality A is the solid red line in the graph
the solution of the inequality A is the shaded area above the solid red line
------> inequality B
The inequality B is the solid blue line in the graph
the solution of the inequality B is the shaded area above the solid blue line
we know that
the point
lie on the line of the inequality B
substitute the values of x and y in the equation of the line
![x+4y = c](https://tex.z-dn.net/?f=x%2B4y%20%3D%20c)
![0+4*(-3) =c](https://tex.z-dn.net/?f=0%2B4%2A%28-3%29%20%3Dc)
![c=-12](https://tex.z-dn.net/?f=c%3D-12)
so
the equation of the line B is
![x+4y =-12](https://tex.z-dn.net/?f=x%2B4y%20%3D-12)
the equation of the inequality B is
![x+4y \geq -12](https://tex.z-dn.net/?f=x%2B4y%20%5Cgeq%20-12)
therefore
<u>the answer is</u>
The number is ![-12](https://tex.z-dn.net/?f=-12)
you cannott do that because they are different variables
hope this helps, have a great day