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:
C. 1458 cubic units
Step-by-step explanation:
one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.
V= L × W × H
= 18 × 9 × 9
= 1,458
hope this helped youuu
| 1 2 ||x| = |4| - | 3 -1 ||y| |6| <span>-3 | 1 2||x| = |4| </span>
<span>| 3 -1||y| |6| </span>
<span>|-3 -6||x| = |-12| </span>
<span>| 3 -1||y| |6 | </span>
<span>| 0 -7 ||x| = | -6 | </span>
<span>| 3 -1 ||y| | 6 | </span>
<span>y = 6/7 </span>
<span>x = 16/7</span>
