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3 years ago

If a linear relationship is proportional, what is always true about its graph?

Mathematics

2 answers:

Leya [2.2K]3 years ago

8 0

Answer:

The answer is proportional. Hope it helps!

Anit [1.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

The graph, a straight line, must pass through the origin. In other words, the graph will have no y-intercept other than (0, 0).

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If √3 = 1.732, then √[(√3-1)/(√3+1)] is equal to

adelina 88 [10]

Step-by-step explanation:

<h3><u>Given Question :-</u></h3>

$\sf \: \sqrt{3} = 1.732, \: then \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

$\red{\large\underline{\sf{Solution-}}}$

Given expression is

$\rm :\longmapsto\: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

<em>On rationalizing the denominator, we get </em>

$\rm \: = \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \times \dfrac{ \sqrt{3} - 1}{ \sqrt{3} - 1} }$

$\rm \: = \: \sqrt{\dfrac{ {( \sqrt{3} - 1)}^{2} }{( \sqrt{3} + 1)( \sqrt{3} - 1)} }$

$\boxed{ \tt \: (x - y)(x + y) = {x}^{2} - {y}^{2} \: }$

<em>So, using this, we get </em>

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ {( \sqrt{3})}^{2} - {(1)}^{2} } }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ 3 - 1} }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }$

$\rm \: = \: \dfrac{(1.732 - 1) \sqrt{2} }{2}$

$\rm \: = \: \dfrac{0.732 \times \sqrt{2} }{2}$

$\rm \: = \: 0.366 \sqrt{2}$

Hence,

$\rm :\longmapsto\: \boxed{ \rm{ \: \: \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} } = 0.366 \sqrt{2} \: \: \: }}$

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<h2>More Identities to know :- </h2>

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)² = (a - b)² + 4ab

(a - b)² = (a + b)² - 4ab

(a + b)² + (a - b)² = 2(a² + b²)

(a + b)³ = a³ + b³ + 3ab(a + b)

(a - b)³ = a³ - b³ - 3ab(a - b)

3 0

3 years ago

I need help anyone?

Arturiano [62]

I got 9030.75 hope it helps

4 0

3 years ago

I need help as soon as possible! Please help me! Thank you very much! No links.

ladessa [460]

Answer:

c or b

Step-by-step explanation:

good luck

hope it helps u

need more answers?

just follow me k

8 0

3 years ago

Kayla is Shopping on Black Friday. Jeans at Belk or 35% off. How much would Kayla pay for two pairs of jeans if they regularly c

Margaret [11]

I'm assuming that each pair of jeans is 35% off.

65 times 0.35 is $22.75.

22.75 times 2 is $45.50

8 0

4 years ago

Function f is defined by the equation f(x) = x².<br> What is f(2)?<br> What is f(3)?

Delicious77 [7]

Answer:

Step-by-step explanation:

f(x) = x²

f(2) = 2²

= 4

f(3) = 3²

= 9

hope it helps :)

7 0

3 years ago

Read 2 more answers