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Find the distance between the following two points: (-4,10) and (-10, -1). Round to the nearest TENTH.

Sagot :

Answer:

distance = 12.5

Step-by-step explanation:

Use the distance formula to find the distance between any two points

√[(x₂ - x₁)² + (y₂ - y₁)²]

Points: (-4, 10) and (-10, -1)

Step 1. Plug these points into the formula (where the first point indicates the firsts x and y coordinates and the second point indicates the seconds x and y coordinates)

√[(-10 - (-4))² + (-1 - 10)²]

Step 2. Subtract

√[6² + (-11)²]

Step 3. Simplify (exponents)

√[36 + 121]

Step 4. Add

√157

Step 5. Simplify (radical)

12.52

Step 6. Round to the nearest tenth

12.5