A. find x b. is the triangle equilateral PLEASE PLEASE I REALLY NEED HELP QUICKLY

Mathematics

1 answer:

aivan3 [116]3 years ago

8 0

Answer:

x=10

the triangle is equilateral

Step-by-step explanation:

3x+30=5x+10=2x+20

x+30=3x+10=20

x=3x-20=-20

-2x=-20=-20

x=10=10

x=10

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

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Answer:

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

Step-by-step explanation:

To find the distance between two points, we can use the Distance Formula.

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

Given:

P (10, -7) ⇒ x₁ = 10, y₁ = -7

Q (7, -10) ⇒ x₂ = 7, y₂ = -10

Substitute the given values into the formula and simplify.

$\\\implies d=\sqrt{\bold{(7-10)}^2+\bold{(-10-(-7))}^2}\\\\\implies d=\sqrt{\bold{(-3)}^2+\bold{(-10+7)}^2}\\\\\implies d=\sqrt{9+\bold{(-3)}^2}\\\\\implies d=\sqrt{\bold{9+9}}\\\\\implies d=\sqrt{\bold{18}}\\\\\implies d=\sqrt{\bold{9}\times2}\\\\\implies d=3\sqrt{2}$