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expeople1 [14]
2 years ago
11

Last one for similarity transformations:)

Mathematics
1 answer:
MAXImum [283]2 years ago
5 0

1. 1/2

2. Across Y axis

3. 3 rights and 2 ups (3, 2)

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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
Which expression is equivalent to 3d + 1?
weqwewe [10]

Answer:

3d + 1

I'm pretty sure it's the same thing.

4 0
2 years ago
A square postage stamp has area 1280 mm. About how long is each​ side?
Afina-wow [57]

Answer:

Each side is 35.78 mm

Step-by-step explanation:

A square would have 4 equal sides.  Since area of a square is x^2, where x is one side, we can write:

x^2 = 1280

x = 35.78 mm

Each side is 35.78 mm

7 0
2 years ago
In collin county there are approximately 834,000 people. If about 30,000 are under the age of 25 what fractional part are above
tresset_1 [31]
Do 30000 divided by 834000 times .1
3 0
3 years ago
I really need help and reallly fassttttttt
Vikki [24]

Answer:

1:    1.06c−10

2:    0.048c−9.2

3:    0.8c(1.06)

Step-by-step explanation:

Brainliest pleasee

7 0
3 years ago
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