Classify each number below as a rational number or an irrational number.

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Answer: I think that the first one is irrational, the second one is rational, then the third one should be rational, the fourth one is irrational, and the fifth one is rational

Step-by-step explanation:

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If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?

Anastasy [175]

If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:

(x,y)=((6+2)/2, (3+1)/2)=(4,2)

Now we need to find the radius....the diameter is:

d^2=(6-2)^2+(3-1)^2

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gizmo_the_mogwai [7]

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

<h3>What is a Chord in Geometry?</h3>

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

<h3>What is the Congruent Chords Theorem?</h3>

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.