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Brut [27]
3 years ago
13

49b^2 - 256 = 0 Solve, and show steps if you can!

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0
Note that 49b^2 - 256 = 0 is the difference of two squares.  Thus, 49b^2 - 256 = 0 can be re-written as

(7b)^2 - 16^2 = 0, which factors into (7b+16)(7b-16)=0.

Solving for b:  7b+16=0 becomes b = -16/7, and
                        7b-16=0 becomes b = 16/7.

As expected, this 2nd order equation has 2 solutions.

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Please <br> simplify 7^6 √ 7^2
daser333 [38]

Answer:

Step-by-step explanation:

The tough part of this question is figuring out what to do with √(7^2). You could do it by expanding the square. √(7^2) = √49

Now what is the square root of 49? Is it not 7?

√49 = 7

7^6 * 7^1

7 ^(6 + 1)

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6 0
3 years ago
Read 2 more answers
Find profit or loss percent if CP-Rs 900 and loss =Rs 360​
guapka [62]

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=Rs.360/Rs.900×100%

=Rs. 360/9

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4 0
2 years ago
I got this far in my working out and am already stuck. have i gone wrong?
Kipish [7]

Yes, you made an algebraic error. By multiplying 18 x 4, you messed up on order of operations.

(x+9)(x+2)*4

becomes:

(x^2+11x+18)*4

= 4x^2 + 44x + 72


anyway, this is how I would do this problem:

(x+9)(x+2)(4) = 912

(x+9)(x+2) = 228

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x^2 + 11x - 220 = 0

(x+21)(x-10) = 0

x = -21 or 10

The dimensions can't be negative, so we only use x = 10

The dimensions are then 10+9, 10+2, 4

or 19, 12, 4

6 0
3 years ago
The volume of 2 spheres have a ratio of 27:125. what is the ratio of their areas
choli [55]

Answer:

the ratio is 9: 25

Step by step calculation:

\sqrt[3]{125}  = 5 \\ 5 {}^{2}  = 25 \\  \sqrt[3]{27}  = 3 \\ 3 {}^{2 }  = 9 \\

3 0
2 years ago
What is the nature of the roots of 6x² - 22=0?​
PolarNik [594]

Answer:

x=√ 33 /3 , − √ 33 /3

Step-by-step explanation:

4 0
3 years ago
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