Question

Find the distance between the two points of (8,9),(-7,4)

Answer 1

Step-by-step explanation:

(8,9), (-7,4)

x1=8, y1=9, x2=-7,y2=4

distance formula=√(x2-x1)^2+(y2-y1)^2

=√(-7-8)^2+(4-9)^2

=√(-15)^2+(-5)^2

=√225+25

=√250

=5√10

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}}}}$

Where,

• x1 = 8
• x2 = -7
• y1 = 9
• y2 = 4

_______________[Put Values]

$\sf{→Distance = \sqrt{(-7 - 8)^2 + (4 - 9)^2}} \\ \\ \sf{→ Distance = \sqrt{(-15)^2 + (-5)^2}} \\ \\ \sf{→ Distance = \sqrt{225 + 25}} \\ \\ \sf{→ Distance = \sqrt{250}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = \sqrt{250}}}}}}$