Answer:
[tex]3 \sqrt{2} [/tex]
Step-by-step explanation:
You can the distance between P(10,-7) and Q(7,-10) by using 'PQ=
[tex] \sqrt{(10 - 7) ^{2} } + \sqrt{ ( - 7 + 10) ^{2} } [/tex]
Also, for example the distance between A(a,b) and B(c,d)
is
[tex] \sqrt{(a - c)^{2} } + \sqrt{(b - d) ^{2} } [/tex]
Answer:
[tex]\sqrt{18}[/tex] or [tex]3\sqrt{2}[/tex] units.
Step-by-step explanation:
To find the distance between two points, we can use the Distance Formula.
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given:
P (10, -7) ⇒ x₁ = 10, y₁ = -7
Q (7, -10) ⇒ x₂ = 7, y₂ = -10
Substitute the given values into the formula and simplify.
[tex]\\\implies d=\sqrt{\bold{(7-10)}^2+\bold{(-10-(-7))}^2}\\\\\implies d=\sqrt{\bold{(-3)}^2+\bold{(-10+7)}^2}\\\\\implies d=\sqrt{9+\bold{(-3)}^2}\\\\\implies d=\sqrt{\bold{9+9}}\\\\\implies d=\sqrt{\bold{18}}\\\\\implies d=\sqrt{\bold{9}\times2}\\\\\implies d=3\sqrt{2}[/tex]
The distance between points P and Q is [tex]\sqrt{18}[/tex] or [tex]3\sqrt{2}[/tex] units.
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