3. Given AB with coordinates A(-4,5) and B(12,13). Find the horizontal distance and the vertical
1 answer:
The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
<h3>What is the distance between two points?</h3>The distance between two points is defined as the length of the line segment between two places representing their distance.
Given AB with coordinates A(-4,5) and B(12,13).
The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².
x₁ = -4, y₁ = 5
x₂ = 12, y₂ = 13
distance = √ (12 – (-4))² + (13 – 5)²
distance = √ (12 + 4)² + (8)²
distance = √ (16)² + (8)²
distance = √ (256 + 64)
distance = √320
distance = 17.88 units
The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
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Answer:
The coast guard craft will get to the distressed boat the fastest.
Step-by-step explanation:
The coordinates of boat are (57,64).
The coordinates of rescue boat are (67,83).
The coordinates of coast guard craft are (65,46).
Both rescue crafts travel at the same rate. One of them will get to the distressed boat the faster, whose distance from the boat is least.
Distance formula:
The distance between boat and rescue boat is
The distance between boat and coast guard craft is
Since the distance between boat and coast guard craft is least, therefore coast guard craft will get to the distressed boat the fastest.