Question

What is the distance between (8,-3) and (4, -7)?

Choose 1 answer:
6
9
√32
√42

Answer 1

C. 32

Explanation:

Use the distance formula.

Distance:

`\Rightarrow \sf{√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)}`

y₂=(-7)

y₁=(-3)

x₂=4

x₁=8

`\sf{√(\left(4-8\right)^2+\left(-7-\left(-3\right)\right)^2)}`

Solve.

Use the order of operations.

PEMDAS stands for:

• Parentheses
• Exponents
• Multiply
• Divide
• Add
• Subtract

Do parentheses first.

(4-8)=-4

`\sf{\left(-4\right)^2+\left(-7-\left(-3\right)\right)^2}`

-7-(-3)=-7+3

-7+3=-4

`\sf{\left(-4\right)^2+\left(-4\right)^2}`

Do exponents.

`\sf{(-4)^2=4^2=4*4=16}`

Then, you add.

16+16

`\Rightarrow \boxed{\sf{32}}`

Therefore, the correct answer is C. 32.