# Algebra help? (picture below) please show good details?

### 5 Answers

- SalahuddinLv 41 month ago
The two-point A(1,4) and B(2,5)

the distance equation AB=sqrt{(2-1)^2+(5-4)^2}=sqrt(1+1)=sqrt 2

- llafferLv 71 month ago
This is the same thing as your question from 4 hours ago, only using different numbers.

The distance equation between two points, derived from the Pythagorean Theorem is:

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

This is an equation you will be expected to memorize.

Using the points (1, 4) and (2, 5), substitute and solve for d:

d = √[(1 - 2)² + (4 - 5)²]

d = √[(-1)² + (-1)²]

d = √(1 + 1)

d = √2

Normally I would leave it like this but since you are asked to round to 2DP, using a calculator to get a decimal approximation gives me:

d = 1.41 units

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- la consoleLv 71 month ago
A (1 ; 4) B (2 ; 5)

Distance AB

xAB = xB - xA = 2 - 1 = 1

yAB = yB - yA = 5 - 4 = 1

AB² = xAB² + yAB²

AB² = (1)² + (1)²

AB² = 2

AB = √2