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Alexandra [31]
3 years ago
14

If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

a+b = 4\sqrt{3}

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = \sqrt{9}· \sqrt{3}

a + b = 3\sqrt{3}

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Solve x2 − 10x = −13.
aev [14]

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial x^{2}-10x+13. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

Substitute the numbers from the equation into the formula.

\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}

Simplify:

\frac{10+/-\sqrt{100-52} }{2}

\frac{10+/-\sqrt{48} }{2}

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with 5+/-\sqrt{48}.

Hope this helps!

6 0
3 years ago
Describe the possible side lengths of the 3rd side of the triangle given the lengths of the 2 other sides?
Sindrei [870]
Heya !

Using a theoram about triangles ,

Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,

Also , the length of third side always greater than absolute difference of the other two sides ,

Let the third side be x ,

So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1

Hence , x ∈ [ 2 , 17 ] inch.

Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...

As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,

For right angled triangle , we have 2 cases ,

Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.

Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.

Hope it helps you ! :)
8 0
4 years ago
Read 2 more answers
Mr. Stein is purchasing a 2.25 pounds of meat that cost $2.80 per pound. How much will he receive if he pays the cashier $20.00
antoniya [11.8K]
He will receive $13.70.

You would have to multiply 2.25 by 2.80 to get 6.30, which is the total cost due. Subtract 6.30 from 20 to get your answer, 13.70, or the change Mr. Stein will receive.
4 0
4 years ago
Help please <br> 3 |X-4| +1 = 19
Travka [436]
The answer would be X = 10
6 0
3 years ago
3^6/3^2<br><br><br>how to solve this one ?
Neko [114]

Answer:

81

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Which makes it equal 81

hope this helped!

5 0
4 years ago
Read 2 more answers
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