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IRISSAK [1]
2 years ago
11

O. Find the distance between P (10,-7) and Q (7,- 10). Leave your answer in radical form.

Mathematics
2 answers:
yanalaym [24]2 years ago
5 0

Answer:

3 \sqrt{2}

Step-by-step explanation:

You can the distance between P(10,-7) and Q(7,-10) by using 'PQ=

\sqrt{(10 - 7) ^{2} }  +  \sqrt{ ( - 7 + 10) ^{2} }

Also, for example the distance between A(a,b) and B(c,d)

is

\sqrt{(a - c)^{2} }  +  \sqrt{(b - d) ^{2} }

mr Goodwill [35]2 years ago
3 0

Answer:

\sqrt{18} or 3\sqrt{2} units.

Step-by-step explanation:

To find the <em>distance between two points</em>, we can use the Distance Formula.

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

<u />

<u>Given:</u>

P (10, -7) ⇒ x₁ = 10, y₁ = -7

Q (7, -10) ⇒ x₂ = 7, y₂ = -10

Substitute the given values into the formula and simplify.

\\\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}

The distance between points P and Q is \sqrt{18} or 3\sqrt{2} units.

Learn more here:

brainly.com/question/27991769

brainly.com/question/21095661

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