Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the distance between the points $(0,3)$ and $(4,6)$ . $\newline$ $\newline$ Write your answer as a whole number or a fully simplified radical expression. Do not round. $\newline$ $\newline$ ______ units

View step-by-step help

View step-by-step help

Distance between two points

Full solution

Q. Find the distance between the points

(0,3)

and

(4,6)

.

\newline

\newline

Write your answer as a whole number or a fully simplified radical expression. Do not round.

\newline

\newline

______ units

Identify Coordinates and Formula: Identify the coordinates of the two points and the formula to use. $\newline$ We have the points $(0,3)$ and $(4,6)$ . To find the distance between two points in a plane, we use the distance formula: $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ .
Plug Coordinates into Formula: Plug the coordinates into the distance formula. $\newline$ Using the points $(0,3)$ as $(x_1, y_1)$ and $(4,6)$ as $(x_2, y_2)$ , we get: $\newline$ Distance $= \sqrt{((4-0)^2 + (6-3)^2)}$ .
Calculate Differences and Square: Calculate the differences and square them. $\newline$ Calculate $(4-0)^2$ and $(6-3)^2$ : $\newline$ $(4-0)^2 = 4^2 = 16$ $\newline$ $(6-3)^2 = 3^2 = 9$
Add Squares and Find Square Root: Add the squares and find the square root. $\newline$ Now, we add the squares from the previous step: $\newline$ $\sqrt{16 + 9} = \sqrt{25}$
Calculate Square Root: Calculate the square root of $25$ . $\sqrt{25} = 5$ So, the distance between the points $(0,3)$ and $(4,6)$ is $5$ units.

More problems from Distance between two points

Question

Find the sum of the first

9

terms in the following geometric series.

\newline

Do not round your answer.

\newline

64+32+16+\ldots

Posted 9 months ago

Question

Find the sum of the first

7

terms in the following geometric series. Do not round your answer.

\newline

1024+512+256+\ldots

Posted 3 months ago

Question

\vec{u}

has an initial point

(-5,-8)

and a terminal point

(6,2)

\newline

Find the components of vector

\vec{u}

\newline

\vec{u}=(\square, \square)

Posted 8 months ago

Question

\vec{b}

has an initial point

(-2,7)

and a terminal point

(9,4)

\newline

Find the components of vector

\vec{b}

\newline

\vec{b}=\square, \square)

Posted 9 months ago

Question

The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is

2

6

\newline

Which is the principal value of

\arctan (2.6)

\newline

1

\newline

-111.0^{\circ}

\newline

69.0^{\circ}

\newline

249.0^{\circ}

\newline

429.0^{\circ}

Posted 9 months ago

Question

The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is

-16

\newline

Which is the principal value of

\arctan (-16)

\newline

1

\newline

-626.4^{\circ}

\newline

-446.4^{\circ}

\newline

-266.4^{\circ}

\newline

-86.4^{\circ}

Posted 9 months ago

Question

Use the distributive property to write an equivalent expression.

\newline

4(f-2 g+1)

\newline

Posted 8 months ago

Question

Use the distributive property to write an equivalent expression.

\newline

9(g+3)

\newline

Posted 8 months ago

Question

Use the distributive property to write an equivalent expression.

\newline

3(2 n+10 p-4)

\newline

Posted 8 months ago

Question

Use the distributive property to write an equivalent expression.

\newline

4(4 k-7 m+10)

\newline

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant