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zlopas [31]
4 years ago
5

Please help! Give the answer and how you got it

Mathematics
1 answer:
Ronch [10]4 years ago
7 0

The distance between the points C(-3,1) and D(5,6) is 10.3 units.

<u>Step-by-step explanation:</u>

Let us consider CD is a line segment.

The point C is (-3,1) and D is (5,6).

The Cartesian formula for line is used to find the length between the CD.

Distance between two points = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The points are (-3,1) and (5,6).

=\sqrt{(6-(-3))^2+(6-1)^2}.

=\sqrt{(6+3)^2+(6-1)^2}

=\sqrt{9^2+5^2}.

=\sqrt{81+25}.

=\sqrt{106}.

=10.295 ≈ 10.3.

Distance between two points 10.3 units.

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In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ are medians of △. If KC = 108 and OC = 2n+10, then n=
Nimfa-mama [501]

The question was incomplete. Below you will find the missing content.

In the figure below, BL, AM, and CK are medians of △ABC. If KC = 108 and OC = 2n + 10, then n=

The picture is attached below.

The value of n is 31.

The median is the line connecting the vertex and its midpoint on the opposite side of the triangle.

The intersection of all 3 medians of the triangle is called the centroid.

As we know centroid divides the median in the ratio of 2:1.

In the given picture,

Medians of triangle △ABC are AM, BL, and CK.

So the centroid of the triangle is O.

Given that KC= 108

As the centroid O divides the line KC in 2:1.

Let OC=2x

KO= X

As KC= KO+OC

⇒ 108= x+2x

⇒ 3x=108

⇒ x=108/3

⇒ x=36

Then OC= 2x= 2*36= 72

As given in the question OC= 2n+10

putting the value of OC in above equation

⇒ 72= 2n+10

⇒ 2n= 72-10

⇒ 2n=62

⇒ n=62/2

⇒n=31

Therefore the value of n is 31.

Learn more about the median of the triangle

here: brainly.com/question/2264495

#SPJ10

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