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Anna11 [10]
3 years ago
7

I need urgent help with the question. Can someone please give full working out of the attached question

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

2x-2

Step-by-step explanation:

Being specifically asked to rationalise the denominator we focus on it as required.

To rationalise a term it has to be multiplied by its inverse.

The inverse of

\sqrt{x}  -  \sqrt{2 - x}

is

\sqrt{x}  +  \sqrt{2 - x}

Multiplying this two vives us a difference of two squares

{( \sqrt{x} })^{2}  -  {( \sqrt{2 - x} )}^{2}

which gives us

x-(2-x)

=2x-2

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72x9 dived by 6 because I'm doing a problem
luda_lava [24]

Answer:

648

Step-by-step explanation:

You can use a calculator or break it into smaller problems, then add them together

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3 years ago
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The answer to this question is 64mm


6 0
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a grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how
vfiekz [6]

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

First, we would create an equation based on what the question says, which would look as:

x + x + 2 = 12

2x + 2 = 12

Subtract two from both sides.

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The grand daughter is 5 years old and since the grandson is two years older he is 7.

Thus,

The age of the granddaughter is 5

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7 0
3 years ago
Use conversion factors to find the answer, distance tracked in feet after 12 seconds at 87 miles per hour.
Assoli18 [71]
1 hour=3600 seconds
1 mile=5280 feet
87 miles/hr (1 hr/3600 sec)(5280 ft/mile)=127.6 feet/sec

Distance= Rate*time
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3 0
3 years ago
3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e
Stells [14]

Answer:

y=2e^{sin(x)}

Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

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=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

y= 2e^{sinx}

7 0
3 years ago
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