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9514 1404 393
Answer:
- 4 3-point baskets
- 7 2-point baskets
Step-by-step explanation:
Let x represent the number of 2-point baskets Nicoli made. Then (x -3) is the number of 3-point baskets. The total number of points is ...
2x +3(x -3) = 5x -9 = 26
5x = 35 . . . . . . add 9
x = 7 . . . . . . . divide by 5
(x -3) = 4 . . . find the number of 3-point baskets
Jokic made 7 2-point baskets and 4 3-point baskets.
First expand the parentheses:-
96x + 18 - 6 + 8x + 25 = 0
104x = -18 + 6 - 25 = -37
x = -37 / 104 = -0.3558
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>
