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:
average speed for the entire trip is 15 mph
Step-by-step explanation:
Let x be the uphill speed and y be the downhill speed.
We have been given that
Speed of Omar in uphill to reach gift store = x =10 mph
Speed of Omar in downhill to reach his home = y = 30 mph
We know the formula for average speed for the entire trip
Therefore, average speed is 15 mph
Answer:
Mild correlation.
Step-by-step explanation:
Girls tend to have smaller feet and so smaller shoe sizes and they tend to score better at school.
<em>-3x-y=10</em>
<em>4x-4y=8</em>
<em>or</em>
<em>y = -3x - 10 </em>
<em>P(0,-10) and P(-2, -4) on this line: Plot and connect with the Line.</em>
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<em> </em>
<em>y = x - 2</em>
<em>P(0, -2) and (2,0) on this line: Plot and connect with the Line.</em>
<em>P(-2,-4) is the ordered pair that is the solution for this system of EQs</em>
<em>On may CHECK by substituting x= -2 and y = -4 into the EQs of these Lines</em>
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<em>Hope this helps!!!</em>
