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Misha Larkins [42]
3 years ago
15

Is Y=3/4x Proportional or Non-proportional?

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer to question:

Proportional

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Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

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

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
I’m being timed PLEASE HELPPP
Eduardwww [97]

Answer:

What are the other options. It kind of looks like it could be the second one

7 0
3 years ago
Please hurry simplify the expression (15^1/5)^5
Lelu [443]

Answer:

15

Step-by-step explanation:

using the rule of exponents

(a^m)^{n} = a^{mn}

(15^{\frac{1}{5)} } ^{5} = 15^{(1/5(5))} = 15^{1} = 15


5 0
3 years ago
Olga flips 2 fair coins. What is the probability of obtaining a different result on each coin?
erica [24]

Answer:

2/4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3/5, 1/2,5/7 as a common
miskamm [114]

a common what? denominator?


4 0
3 years ago
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