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svetlana [45]
3 years ago
12

Which number is IRRATIONAL?

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

C)√ 72

Step-by-step explanation:

We will Simplify the radical by breaking the radicand up into a product of known factors.

When we do this, we figure out that...

A.√ 49 = 7

B.√ 64 = 8

D.√ 121 = 11

BUT C) is different.

√ 72 can not be divided into any whole number an exact amount of times.

So instead, this can be solved by writing it as shown:

Exact Form:

6 √ 2

Decimal Form:

8.48528137

Thanks for letting me help!!

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Answer:

D.

Step-by-step explanation:

When substituted and checked, the equation makes perfect sense with the coordinates.

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2 years ago
Decrease 40 by 62 1/2%
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15

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Take 62.5 from 100  = 37.5

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Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from
Tanzania [10]

Answer:

The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).

Step-by-step explanation:

Given:

Let Point P ( x , y ) divides Segment Am in the ratio 1 : 3 = m : n (say)

point A( x₁ , y₁) ≡ ( 1 , 2)

point B( x₂ , y₂) ≡ (5 , 3)  

To Find:

point P( x , y) ≡ ?

Solution:

IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

x=\frac{(mx_{2} +nx_{1}) }{(m+n)}\\ \\and\\\\y=\frac{(my_{2} +ny_{1}) }{(m+n)}\\\\

Substituting the values we get

x=\frac{(1\times 5 +3\times 1) }{(1+3)}\\ \\and\\\\y=\frac{(1\times 3 +3\times 2) }{(1+3)}\\\\\therefore x = \frac{8}{4}=2 \\\\and\\\therefore y = \frac{9}{4}=2.25 \\\\\\\therefore P(x,y) = (2 , 2.25)

The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).

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-13 -13

(15,17)

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