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3 years ago

D2 =81-1 find the positive value of d that makes the equation true

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

4 0

81-1= 80
80 / 2 = 40
D = 40
So:
40(2) = 81 - 1

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

$\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b$

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On comparing we get :

a = 4 and b = 0

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3 years ago

A radio station is giving away prizes. They give away CD every 18 minutes and a gift card every 24 minutes. The radio station ga

emmainna [20.7K]

Answer:

Apne see kar Bsdk. Is Bais bano aur desh ko sangali warna patak ke chod denge XD

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2 years ago

Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 53 minutes. Billy could mow the lawn by himself

podryga [215]

5353 minutes = 89.22 hours
Maybe the figures should be 53 and 20??

Let's let Billy = A
The formula to use for work problems is
Time = (A*B) / (A+B)

53 = ( (A +20)* A) / (A +20 + A) )
53 = ( A^2 + 20A ) / (2A + 20)
A^2 + 20A -106A -1060
A^2 -86A -1060
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3 years ago

A swimming pool can be filled in 18 hours if water enters through a pipe alone, or in 25 hours if water enters through a hose a

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I am not sure, but this is what I got:
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Pipe ALONE in 1 hour = 1/18 of the pool

Hose ALONE in 1 hour = 1/25 of the pool

TOGETHER in 1 HOUR = 1/18 +1/25 = 43/450

TOGETHER they will fill the pool in 450/43 hours

So 5/6 of the pool will take 5/6 X 450/43 = 2250/ 258 = 8.7209302 hours OR

8 hours AND 43.26 minutes ANSWER
</span>
Hope this helps!

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2 years ago

In a recent swim meet, Jason swam 100 meters in 20 seconds.<br> Jason swam ? meters per second

mafiozo [28]

Answer:

5 m/s

Step-by-step explanation:

100 meters divided by 20 seconds

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2 years ago

Read 2 more answers