bxymichelle
26.07.2019 •
Mathematics
In the system of equations { x+2y=5 } { 4x-6y=9 } what does x equal and why?
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Ответ:
4(5-2y) - 6y = 9 , 20 - 8y - 6y = 9 , 20 - 14y = 9 , y = 11/14
x = 5 - 2y = 5 - 2(11/14) = 24/7
Ответ:
Step-by-step explanation:
To show m∠C = 90° we need to show that AC ⊥ BC.
We know perpendicular lines have opposite reciprocal slopes.
Since we have coordinates of the points we can find the slopes.
Slope formula:
m = (y₂ - y₁) / (x₂ - x₁)Slope of AC:
m₁ = (b - 0) / (a - (-c)) = b / (a + c)Slope of BC:
m₂ = (b - 0) / (a - c) = b / (a - c)The product of the slopes should equal - 1:
m₁m₂ = -1b / (a + c) * b / (a - c) = - 1Correct choice is B