Round nearest tenth (-5,2) , (3,-4)

Question

Find the distance between the pair of points round to the nearest tenth

Answer 1

The distance formula between two points P(x₁, y₁) and Q(x₂, y₂) is:

d(P,Q) = square root of [(x₂ - x₁)² + (y₂ - y₁)²]

In our case P(-5, 2) and Q(3, -4) can be plugged in to get

d = square root of [(3 - (-5))² + (-4 -2)²]

Let's solve the radicand (numbers under the square root symbol)

(3 - (-5))² + (-4 -2)²

(3+5)² + (-6)²

(8)² + (-6)²

64 + 36

100

If we take the square root of 100, we get +10 and -10, however you cannot have a negative distance, therefore the distance is +10.