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: 240
Step-by-step explanation: the base is 40, so 4x10. volume= LxWxH, which is just all the units. 4x10x6=240. hope this helps!
Answer: 2.314 is your answer.
Step-by-step explanation:
Line up both numbers, then multiply each number from right to left. After, use the steps of multiplication to find your answer.
9514 1404 393
Answer:
y = 1
Step-by-step explanation:
Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
(a^b)(a^c) = a^(b+c)
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Your equation can be written as ...
Now this can be solved as an ordinary linear equation.
8 = 8y . . . . . . add 5y to both sides
1 = y . . . . . . . divide by 8
The solution is y = 1.
Answer:
C=4
Step-by-step explanation:
So you multiply 3 tickets by 25 and you get $75. You then subtract $130 from $75 and you get $55 you then multiply 12 by 4 to get $48. And that's how 4 is the correct answer.
