If the distance between the points (p,-5) and (2,7) is 13 units, then the value of p is
1 point
a) -3,-7
b) 3,-7
c) 3,7
d) -3,7
Answers
Answered by
47
Answer:
▶ Value of p is -3,7.
Step-by-step explanation:
Given that,
▶ x1 = p , y1 = -5
▶ x2 = 2 , y2 = 7
Distance between two points (x1,y1) and (x2,y2) can be calculated using the formula,
▶ √(x2 - x1)² + (y2 - y1)²
According to Question,
▶ Distance between the points (p,−5) and (2,7) = √(x2 - x1)² + (y2 - y1)²
▶ 13 = √[(2-p)² + (7 - (-5)²]
▶ 13 = √(2-p)² + 144
▶(2-p)² + 144 = (13)²
▶(2-p)² = 169 - 144
▶(2-p)² = 25
▶(2-p) = ±√25
▶(2-p) = ±5
▶2 - p = 5 oR 2 - p = -5
▶p = -3 oR p = 7
Hence,
- The value of p is (-3,7).
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