Solve the system of linear equations by substitution: (SHOW UR WORK) y=-x y=3x-4
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Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:
Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!
Distance to checkpoint A from starting line = 20 yards.
Then from A to B distance = 12 yards.
Let us take starting point C.
So, it would make a right triangle.
We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.
According to Pythagoras theorem:
BC = 23.32.
<h3>Therefore, 23.32 yards is the distance from Checkpoint B to the starting line.</h3>