Find the distance between the points (5,8) and (5,4). ____ units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates. x-difference: $5 - 5 = 0$ y-difference: $8 - 4 = 4$Apply Distance Formula: Apply the distance formula: $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$. Substitute the differences: $\sqrt{(0)^2 + (4)^2}$Simplify Expression: Simplify the expression under the square root. Calculate: $0^2 = 0$ and $4^2 = 16$ So, $\sqrt{0 + 16} = \sqrt{16}$Find Square Root: Find the square root of 16. $\sqrt{16} = 4$

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the distance between the points $(5,8)$ and $(5,4)$ . $\newline$ $\_\_\_\_$ units

View step-by-step help

Home

Math Problems

Algebra 1

Distance between two points

Full solution

Q. Find the distance between the points

(5,8)

and

(5,4)

\newline

\_\_\_\_

units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates. $\newline$ x-difference: $5 - 5 = 0$ $\newline$ y-difference: $8 - 4 = 4$
Apply Distance Formula: Apply the distance formula: $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . $\newline$ Substitute the differences: $\sqrt{(0)^2 + (4)^2}$
Simplify Expression: Simplify the expression under the square root. $\newline$ Calculate: $0^2 = 0$ and $4^2 = 16$ $\newline$ So, $\sqrt{0 + 16} = \sqrt{16}$
Find Square Root: Find the square root of $16$ . $\newline$ $\sqrt{16} = 4$