Remember, the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. When the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. When the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.
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Hey there! I'm happy to help!
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.
To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.
-4=3/2(-3)+b
Undo parentheses.
-4=-9/2+b
Add 9/2 to both sides
b=1/2
Therefore, our equation is y=3/2x+1/2.
Have a wonderful day! :D
Answer:either c or b
Step-by-step explanation: to be honest I searched up
Argument
Let the second angle = x
Let the first angle = 2x
Let the third angle = x + 64
Substitute and Solve
x + 2x + x + 64 = 180 Collect the like terms on the left.
4x + 64 = 180 Subtract 64 from both sides.
4x = 180 - 64
4x = 116 Divide by 4
x = 116 / 4
x = 29
Conclusion
x = 29
2x = 58
x + 64 = 93 I'm leaving you with the problem of checking this out.
Answer
The first angle = 58
The second angle = 29
The Third angle = 93