Question

Find the distance between the points (0,–1) and (0,–11). Question 4 options: 9 10 12 11

Answer 1

Answer:

$\huge \boxed{ \boxed{ \text{10 \: units}}}$

Step-by-step explanation:

to understand this

you need to know about:

• coordinates
• PEMDAS

tips and formulas

• $\tt d = \sqrt{(x _{2} - x_{1} {)}^{2} + ( y_{2} - y_{1} {)}^{2} }$

let's solve

1. $\sf substitute \: the \: value \: of \: x_2 \: x_1 \: y_2 \: y_1 : \\ \sqrt{ {(0 - 0)}^{2} + {( - 1 - ( - 11)}^{2} }$
2. $\sf simplify \: \{parentheses \} : \\ \sqrt{ {0}^{2} + {10}^{2} }$
3. $\sf simplify \: \{ exponets \} : \\ \sqrt{0 + 100}$
4. $\sf simplify \: \{add \} : \\ \sqrt{100}$
5. $\sf simplify \{squre \: root \} : \\ \therefore 10$