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Darina [25.2K]
3 years ago
6

What is the distance between the points (2,10) and (-6, 4) on the coordinate

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

The distance between the given points (2,10) and (-6, 4) on the coordinate  plane is 10units

Therefore distance s=10 units

Step-by-step explanation:

Given points are (2,10) and (-6, 4) on the coordinate plane

To distance between the given points :

The distance formula is s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} units

Let (x_1,y_1) ,(x_2,y_2) be the given points (2,10) and (-6, 4) respectively

Now substituting the values in the distance formula  we get

s=\sqrt{(-6-2)^2+(4-10)^2}

=\sqrt{(-8)^2+(-6)^2}

=\sqrt{8^2+6^2}

=\sqrt{64+36}

=\sqrt{100}

=10

Therefore s=10 units

The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units

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The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
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<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

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Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

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The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

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