This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
5(x - 4) = 12 - 3x
5x - 20 = 12 - 3x
2x - 20 = 12
2x = -8
x = -4
Answer:
rewritten in commutative property: 25 x 16
simplified: 400
Step-by-step explanation:
The mistake Jadyn made in the long division is
- Mistake in subtraction
- the first quotient
<h3>What is long division ?</h3>
Long division refers to a way of dividing large numbers
performing the long division correctly gives
divisor dividend quotient multiplication subtraction new dividend
8 335 40 8 * 40 = 320 335 - 320 15
8 15 1 8 * 1 = 8 15 - 8 7
8 70 0.8 8 * 8 = 64 70 - 64 6
8 60 0.07 8 * 7 = 56 60 - 56 4
8 40 0.005 8 * 5 = 40 40 - 40 0
The quotient is then added as
40 + 1 + 0.8 + 0.07 + 0.005 = 41.875
Learn more about long division here:
brainly.com/question/1098876
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Answer:
6 Nickels
42 Dimes
Step-by-step explanation:
There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:
n + d = 48
or
n = 48 - d
In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:
0.05n + 0.10d = 4.50
Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:
So, there are 42 dimes.
We know from before, n = 48 - d, so
n = 48 - 42 = 6
There are 6 nickels
