Answer:
Domain: [0,infinity)
Range: [0,infinity)
X-intercept: (0,0)
Y-intercept: (0,0)
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Common Sense
Answer:
a) one solution
b) no solution
Step-by-step explanation:
Systems of equations can be described as having one solution, no solution or infinite solutions:
One solution: 'x' and 'y' are equal to only one value
No solution: 'x' and 'y' can not be solved with the given equations
Infinite solutions: values for 'x' and 'y' include all real numbers
In order to evaluate the systems, putting them in the same format is your first step:
a) - y = -5x - 6 or y - 5x = 6
y - 5x = -6
Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.
b) y + 3x = -1
y = 3x -1 or y - 3x = -1
Solving for 'y' by adding the equations and eliminating 'x', gives us:
2y = -2 or y = -1
Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.
Answer:
10m
Step-by-step explanation:
We can set up an equation to solve this.
This equation can be created since we are given two similar sides of both triangles.
Now, cross multiply and simplify to solve for 
.
The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.
Therefore, the value of is 10m.
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