=> x² = (2.4)² + (4.8)²
=> x² = 5.76 + 23.04
=> x² = 28.8
=> x = 5.366563146
=> x = 5.4
Ans: 2nd option (5.4)
Hope this helps!
If your denominators are
x² + 4x - 12 = (x +6)(x -2)
and
x² + 7x + 6 = (x +6)(x +1)
Then the common denominator is the product of unique factors:
(x +6)(x +1)(x -2)
Answer: 2 solutions.
The given equation breaks down into these two equations
3x+12 = 18 and 3x+12 = -18
Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.
If you want to solve each equation, then
3x+12 = 18
3x = 18-12
3x = 6
x = 6/3
x = 2 is one solution
and
3x+12 = -18
3x = -18-12
3x = -30
x = -30/3
x = -10 is the other solution
Answer:
Tj should write 5.75 hours on her time card.
Step-by-step explanation:
We have been given, Tj worked for 5 hours and 45 minutes.
We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.

=0.75 hours
Hence, Tj should write 5.75 hours on her time card.
She will need to sell 18 necklaces a month to reach 1650