See the explanation
<h2>
Explanation:</h2>
A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:
The given line is:
![x-y=-2](https://tex.z-dn.net/?f=x-y%3D-2)
If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:
![3(x-y)=3(-2) \\ \\ 3x-3y=-6](https://tex.z-dn.net/?f=3%28x-y%29%3D3%28-2%29%20%5C%5C%20%5C%5C%203x-3y%3D-6)
So a system of two linear equation that is consistent and dependent is:
![\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx-y%3D-2%7D%20%5Catop%20%7B3x-3y%3D-6%7D%7D%20%5Cright.)
<h2>Learn more:</h2>
Graph of lines: brainly.com/question/14434483#
#LearnWithBrainly
The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.
Answer:
3.1 3.25 3.33 3.4
Step-by-step explanation:
Answer: ![(6\sqrt{5})i](https://tex.z-dn.net/?f=%286%5Csqrt%7B5%7D%29i)
This is the same as saying ![6i\sqrt{5}](https://tex.z-dn.net/?f=6i%5Csqrt%7B5%7D)
====================================================
Work Shown:
![\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\](https://tex.z-dn.net/?f=%5Csqrt%7B-180%7D%20%3D%20%5Csqrt%7B-1%2A36%2A5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%20%5Csqrt%7B-1%7D%2A%5Csqrt%7B36%7D%2A%5Csqrt%7B5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%20i%2A6%2A%5Csqrt%7B5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%206i%5Csqrt%7B5%7D%5C%5C%5C%5C%5Csqrt%7B-180%7D%20%3D%20%286%5Csqrt%7B5%7D%29i%5C%5C%5C%5C)
where ![i = \sqrt{-1}](https://tex.z-dn.net/?f=i%20%3D%20%5Csqrt%7B-1%7D)
As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule
to break up the root.
The parenthesis used at the very end is to help separate the
from the
term. The "i" is not under the square root.