Answer:
Step-by-step explanation:
hello :
the system is : y= 3x+4....(*)
y+6=3x....(**)
by (**) : y = 3x - 6
so : y= 3x+4
y= 3x - 6
means : 3x+4 = 3x - 6
4= -6.......(false)
conclusion : no reals solutions
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Answer:
The distance to the nearest tenth of a foot between the mechanic and pilot is 37.5 ft.
Step-by-step explanation:
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
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