Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the distance between the points $(6,4)$ and $(2,7)$ . $\newline$ Write your answer as a whole number or a fully simplified radical expression. Do not round. $\newline$ $\_\_$ units

View step-by-step help

View step-by-step help

Distance between two points

Full solution

Q. Find the distance between the points

(6,4)

and

(2,7)

.

\newline

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

\newline

\_\_

units

Identify Coordinates: To find the distance between the points $(6,4)$ and $(2,7)$ , we will use the distance formula, which is $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . Here, $(x_1, y_1) = (6, 4)$ and $(x_2, y_2) = (2, 7)$ .
Calculate X-coordinate Difference: First, we calculate the difference in the x-coordinates: $(x_2 - x_1) = (2 - 6) = -4$ . Squaring this difference gives us $(-4)^2 = 16$ .
Calculate Y-coordinate Difference: Next, we calculate the difference in the y-coordinates: $(y_2 - y_1) = (7 - 4) = 3$ . Squaring this difference gives us $(3)^2 = 9$ .
Add Squares of Differences: Now, we add the squares of the differences in the $x$ and $y$ coordinates: $16 + 9 = 25$ .
Find Distance: Finally, we take the square root of the sum to find the distance: $\sqrt{25} = 5$ . Therefore, the distance between the points $(6,4)$ and $(2,7)$ 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