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Ronch [10]
3 years ago
15

Rationalise the denominator.

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

(5 -\sqrt{2})

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

(a + b)(a - b) =  {a}^{2} -  {b}^{2}  \\

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

\frac{1}{ 5-\sqrt{2} } \times  \frac{ 5+\sqrt{2}  }{ 5 +\sqrt{2}  } =  \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2})  } =  \\

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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Tanya's rotation maps point K(24, –15) to K'(–15, –24). Which describes the rotation? 90 degrees clockwise rotation 270 degrees
alexira [117]

Answer:

A. 90 degrees clockwise rotation

Step-by-step explanation:

Of we have a coordinate axis (x,y), if this axis is rotated 90° clock wide, the resulting coordinate of the pre-image will be the coordinate (y -x). Note that the coordinates was swapped and then the new y coordinate negated.

Given the coordinate K(24, -15). If we rotate this clockwisely, first we swap the coordinate axis to have (-15, 24)

Them we will negate the new y coordinate axis to have;

K'(-15, -24)

Therefore the correct answer is 90° clockwise rotation.

7 0
2 years ago
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Help, I’m a bit confused, what would the coordinates be. The question is in the picture!!!!!
kotykmax [81]
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3 0
3 years ago
) 6. What is the volume of the composite figure
sattari [20]
1,468 sqft hope that’s right
6 0
3 years ago
4 1/5 of 8 2/10 is what number? (A) 1/2 (B) 21/41 (C) 861/25 (D) 21/82
In-s [12.5K]

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Correction it is C

Step-by-step explanation:

4 0
2 years ago
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What is the area of this triangle in the coordinate plane? 5 units² 6 units² 7 units² 12 units² A graph with a triangle drawn be
____ [38]

Answer:

6 units²

Step-by-step explanation:

The coordinates (1,1) (1,4) (5,1)  form a right triangle as shown in the graph below

The base is  is (1,1) and (5,1) so the length is 5-1 or 4 units

The height is (1,1) and (1,4) so the height is 4-1 or 3 units

Area of a triangle is given by

A = 1/2 bh

    = 1/2 (4*3)

    = 1/2 *12

    = 6 units^2

8 0
3 years ago
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