Question

Can you help with this please.

Answer 1

Answer:

8.1 units

Step-by-step explanation:

Distance Formula

• d = √(x₂ - x₁)² + (y₂ - y₁)²

Solving

• d = √(14 - 10)² + (12 - 5)²
• d = √4² + 7²
• d = √65
• d = 8.1 units (nearest tenth)

Answer 2

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

• Given - two points P ( 5 , 10 ) and R ( 12 , 14 ) on the cartesian plane

• To find - distance between the two points

Using the distance formula ~

$\qquad\underline{d(PR) = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }}$

we have ,

$\longrightarrow x_{1} = 5 \\ \longrightarrow x_{2} = 12 \\ \\ \longrightarrow \: y_{1} = 10 \\ \longrightarrow \: y_{2} = 14$

substituting the values in the formula , we get

$d(PR) = \sqrt{(12-5) {}^{2} + (14-10) {}^{2} } \\ \\ \implies \: d(PR) = \sqrt{(7) {}^{2} + ( 4) {}^{2} } \\ \\ \implies \: d(PR) = \sqrt{49 + 16} \\ \\ \implies \: d(PR) = \sqrt{65} \\ \\ \implies \: d(PR) = 8.1 \: units \: (approx)$

hope helpful :)