Answer:
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Step-by-step explanation:
![\displaystyle 4 = 2\sqrt{25} - 6 \\ 4 = 2[5] - 6 \\ \\ 4 = 10 - 6](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%20%3D%202%5Csqrt%7B25%7D%20-%206%20%5C%5C%204%20%3D%202%5B5%5D%20-%206%20%5C%5C%20%5C%5C%204%20%3D%2010%20-%206)
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For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
y = 3x
Step-by-step explanation:
x is number of cartons of eggs
y is cost
cost increases by 3 for every carton of eggs, so slope is 3
x and y intercepts are zero because there is no cost when there are no eggs
equation: y = 3x
Answer:
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Step-by-step explanation:
Answer:
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