Answer:
27 = 3 , 3, 3
63= 3 , 3, 7
54= 3 , 3, 3, 2
HCF OF 27, 63 AND 54 = 3 X 3 = 9
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Answer:

Step-by-step explanation:

Add 6 to both sides:


Divide both sides by -3:


Subtract 4 from both sides:


Divide both sides by 2:


Answer:
Step-by-step explanation:
Let 
Subbing in:

a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

Group together in groups of 2:

Now factor out what's common within each set of parenthesis:

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
Answer:
$5,030.40
Step-by-step explanation:
The balance outstanding at the end of any month is the due amount after adjusting for interest and loan repayment amount. The amount outstanding can be calculated as:
<u>First month</u>
Due amount = $6,000
Interest at 2% = $6,000*2% = $120
Loan repayment = $600
Reduction in balance = $600 - $120 = $480
Balance remaining = $6,000 - $480 = $5,520
<u>Second month</u>
Due amount = $5,520
Interest at 2% = $5,520*2% = $110.4
Loan repayment = $600
Reduction in balance = $600 - $110.4 = $489.60
Balance remaining = $5,520 - $489.60 = $5030.40
Hence, the balance outstanding at the end of month 2 is $5,030.40
Hi,
Answer:
48 cm
Step-by-step explanation:
14 + x = 62
62 - 14 = 48
x = 48 cm
Have a good one!