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4 years ago

Are irrational numbers always/sometimes/never rational number?

Mathematics

1 answer:

gavmur [86]4 years ago

7 0

An irrational number can never be rational

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One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.

tatuchka [14]

Answer:

Step-by-step explanation:

<h3>To prove quadrilateral is a square:</h3>

a) Slope of CB

C(-3,-1) ; B = (0,3)

$\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}$

$\sf \text{\bf slope of CB = $\dfrac{4}{3}$}$

b) D(1,-4) ; A(4,0)

$Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\$

$= \dfrac{0+4}{3}\\\$

$\sf \text{\bf Slope of DA = $\dfrac{4}{3}$}$

Slope of CB = slope of DA

c) C(-3,-1) ; D(1 , -4)

$\sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}$

$\sf = \dfrac{-4+1}{1+3}\\\\ = \dfrac{-3}{4}\\$

$\sf Slope \ of \ CD * Slope of CB = \dfrac{-3}{4}*\dfrac{4}{3}=-1$

So, CD is perpendicular to CB

d) B(0,3) ; D(1,-4)

$Slope \ of \ BD = \dfrac{-4-3}{1-0}\\\\=\dfrac{-7}{1}\\\\=-7$

e) C(-3,-1) ; A(4,0)

$\sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\$

$=\dfrac{0+1}{4+3}\\\\=\dfrac{1}{7}$

$\text{Slope of CA *Slope of BD = $\dfrac{1}{7}$*(-7)}=-1$

So, CA is perpendicular to BD

$\sf \text{\bf Slope of DA = \dfrac{4}{3}}$

5 0

2 years ago

Which point is located on the line represented by the equation y+4=-5(x-3)

Genrish500 [490]

The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
y-(-4)=-5(x-3)
the point is (3,-4)

3 0

3 years ago

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75

SSSSS [86.1K]

Answer:

y=1/3x answer A

Step-by-step explanation:

1/3 is the negative reciprcal of -3/1 also i took it on edg

4 0

3 years ago

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What kind of number is -5? Is it rational or something like that?

babymother [125]

The number -5 is anything but natural number.
It is an integer (Z) ,a rational number (Q) and a real number (R) .

4 0

4 years ago

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2x=5 what do we divide by?

larisa [96]

We divide by 2 on both sides.

We get the final answer as

x = 5/2 = 2.5

8 0

3 years ago

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