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elixir [45]
3 years ago
9

Show that 1/ 1+ √2 + 1 /√2+√3 = -1 + √3

Mathematics
2 answers:
laila [671]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1/( 1+√2) + 1 /(√2+√3)

Multiply both fractions by the conjugate of the denominators:

= (1 -√2) / (1 +√2)(1 - √2)  +  (√2 - √3) / (√2 + √3)(√2 - √3)

= (1 - √2) / -1  +   (√2 - √3) / -1

= -1 + √2 - √2 + √3

= -1 + √3 as required.

m_a_m_a [10]3 years ago
4 0

Answer:

here is your answer...

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Point P (-2,-4) is translated so that the new coordinates are P'(-4.6). Which is the
lisov135 [29]

Answer:

4-6b is the correct way to say it

Step-by-step explanation:

4 0
2 years ago
Please help, I really need this
Nady [450]

9514 1404 393

Answer:

  (a) -- the correct choice is highlighted

Step-by-step explanation:

The units of specific heat tell you what quantities make up the ratio.

  \dfrac{390\text{ J}}{1\text{ kg$\cdot^\circ$C}}=\dfrac{-12.0\text{ J}}{0.012\text{ kg}\cdot\Delta T}\\\\\Delta T=\dfrac{-12.0}{0.012\cdot390}\ ^\circ\text{C}\approx-2.56\text{ $^\circ$C}

The temperature will decrease by 2.56 C.

4 0
3 years ago
Cone A has a diameter of 12 meters and a slant height of 9 meters. The linear dimensions of cone B are 5 times the linear dimens
Karolina [17]

Answer:

Cone volume formula

To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h

Step-by-step explanation:

8 0
2 years ago
A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side
kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}

b) The shortest side measures 76 mi less than the middle​ side( in other words, you have to subtract 76 from middle side to get the shortest side)

x=y-76\Rightarrow equation(2)

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

z=y+379\Rightarrow equation(3)

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\  \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}

now, replace the y value in equatino (2) to find x

b)

\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}

c) finally, prelace x and y value in equation (1) to find z

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0
1 year ago
What is the measure of the missing angle?<br><br> 76<br> 166<br> 86<br> 156
BabaBlast [244]

Answer:

156

Step-by-step explanation:

It the whole line’s angle measure would be 180 degrees. If you subtract 24 from 180 You get 156.

Please give me Brainly answer.

5 0
3 years ago
Read 2 more answers
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