Distance Between Two Points 3

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Question 1 of 6

Find the distance between each pair of points.

Round your answer to the nearest tenth.

$\text(Distance) =$ (5.1) $\text(units)$

Incorrect

Distance Formula

$d=\sqrt{(\color{#9202AA}{x_2}-\color{#9202AA}{x_1})^2+(\color{#00880A}{y_2}-\color{#00880A}{y_1})^2}$

First, label the given coordinates

$A($ $-4$

$,$ $4$

$) = A($ $x_1$

$,$ $y_1$

$)$

$B($ $1$

$,$ $3$

$) = B($ $x_2$

$,$ $y_2$

$)$

Solve using the Distance Formula

$\text(Distance)$	$=$	$\sqrt{(\color{#9202AA}{x_2}-\color{#9202AA}{x_1})^2+(\color{#00880A}{y_2}-\color{#00880A}{y_1})^2}$	Distance Formula
	$=$	$\sqrt{(\color{#9202AA}{1}-\color{#9202AA}{(-4)})^2+(\color{#00880A}{3}-\color{#00880A}{4})^2}$	Plug in the coordinates
	$=$	$sqrt(5^2 + (-1)^2)$	Simplify
	$=$	$sqrt(25 + 1)$
	$=$	$sqrt(26)$	Take the square root
	$=$	$5.099019514$
	$=$	$5.1$ units	Round to the nearest tenth

$\text(Distance) =5.1 \text(units)$

Question 2 of 6

Find the distance between each pair of points.

Round your answer to the nearest tenth.

$\text(Distance) =$ (3.6) $\text(units)$

Incorrect

Distance Formula

$d=\sqrt{(\color{#9202AA}{x_2}-\color{#9202AA}{x_1})^2+(\color{#00880A}{y_2}-\color{#00880A}{y_1})^2}$

First, label the given coordinates

$A($ $1$

$,$ $1$

$) = A($ $x_1$

$,$ $y_1$

$)$

$B($ $4$

$,$ $3$

$) = B($ $x_2$

$,$ $y_2$

$)$

Solve using the Distance Formula

$\text(Distance)$	$=$	$\sqrt{(\color{#9202AA}{x_2}-\color{#9202AA}{x_1})^2+(\color{#00880A}{y_2}-\color{#00880A}{y_1})^2}$	Distance Formula
	$=$	$\sqrt{(\color{#9202AA}{4}-\color{#9202AA}{1})^2+(\color{#00880A}{3}-\color{#00880A}{1})^2}$	Plug in the coordinates
	$=$	$sqrt(3^2 + 2^2)$	Simplify
	$=$	$sqrt(9 + 4)$
	$=$	$sqrt(13)$	Take the square root
	$=$	$3.605551275$
	$=$	$3.6$ units	Round to the nearest tenth

$\text(Distance) =3.6 \text(units)$

Question 3 of 6

Find the distance between $A(-3,5)$ and $B(2,1)$

Round your answer to

$2$ decimal places

Distance $=$ (6.40)units

Question 4 of 6

Find the distance between $A(1.5,1)$ and $B(4,-2)$

Round your answer to

$2$ decimal places

Distance $=$ (3.91)units

Question 5 of 6

Find the distance between $A(-1,5)$ and $B(0,-3)$

Round your answer to

$2$ decimal places

Distance $=$ (8.06)units

Question 6 of 6

Find the distance between $A(-2,2)$ and $B(2,-1)$

Round your answer to

$2$ decimal places

Distance $=$ (5)units

Distance Between Two Points 3

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Quiz summary

Information

1. Question

Well Done!

Distance Formula

2. Question

Correct!

Distance Formula

3. Question

Keep Going!

Distance Formula

4. Question

Keep Going!

Distance Formula

5. Question

Keep Going!

Distance Formula

6. Question

Keep Going!

Distance Formula

Quizzes

Distance	$=$	$sqrt((color(darkviolet)(x_2-x_1))^2+(color(forestgreen)(y_2-y_1))^2)$	Distance Formula
	$=$	$sqrt((color(darkviolet)(2-(-3)))^2+(color(forestgreen)(1-5))^2)$	Plug in the coordinates
	$=$	$sqrt(5^2 + (-4)^2)$	Simplify
	$=$	$sqrt(25 + 16)$
	$=$	$sqrt(41)$	Take the square root
	$=$	$6.403124$
	$=$	$6.40$	Rounded to $2$ decimal places