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Silvania012
@Silvania012
August 2019
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Determine a distância do ponto A ( 2,8) e a reta r. 2x - 7 y + 1 =0
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Paulloh1
Olá?!!
Resolução!!
A ( 2, 8 ) e r : 2x - 7y + 1 = 0
..... | ax + by + c |
D = ———————
........ √a² + b² ....
..... | 2x - 7y + 1 |
D = ———————
........ √2² + 7² ......
..... | 2 • 2 - 7 • 8 + 1 |
D = —————————
........... √4 + 49 ..........
..... | 4 - 56 + 1 |
D = ——————
.......... √53 ........
..... | - 51 |
D = ———
...... √53
...... 51
D = ——
..... √53
D = 51/√53 • √53/√53 → 51√53/√2809 → 51√53/53 u. c
Logo, a distancia é 51√53/53 u. c
Espero ter ajudado!!!
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Resolução!!
A ( 2, 8 ) e r : 2x - 7y + 1 = 0
..... | ax + by + c |
D = ———————
........ √a² + b² ....
..... | 2x - 7y + 1 |
D = ———————
........ √2² + 7² ......
..... | 2 • 2 - 7 • 8 + 1 |
D = —————————
........... √4 + 49 ..........
..... | 4 - 56 + 1 |
D = ——————
.......... √53 ........
..... | - 51 |
D = ———
...... √53
...... 51
D = ——
..... √53
D = 51/√53 • √53/√53 → 51√53/√2809 → 51√53/53 u. c
Logo, a distancia é 51√53/53 u. c
Espero ter ajudado!!!