Answer:
(x - h)^2 + (y - k)^2 = 3^2
Step-by-step explanation:
The most general standard form here is
(x - h)^2 + (y - k)^2 = r^2. Since we know the center is at (-2, -3), we rewrite this equation as
(x + 2)^2 + (y + 3)^2 = r^2.
Note that the center (-2, -3) and the point (-2, 0) lie on the same vertical line, and that the vertical distance from the center to this point is 3. This is also the radius of the circle. Thus, the equation of this circle is:
(x - h)^2 + (y - k)^2 = 3^2
Answer:94%
Step-by-step explanation:
Half life of a radioactive element is the time taken for half it's mass to disintegrate away.it means after attaining half life,what will be left is 100-50=50%.
Let the 100% mass of C-14,be x
Then 5730years=1/2 of X
Then 660 years=y of X
Where Y is the fraction of C-14 that has disintegrate as at 1988.
5730/660=1/2X/yX
5730/660=1/2/y
Cross multiplying
5730×y=660×1/2
5730y=330
Y=330/5730=0.05759
In %,5.76%
Amount of C-14 left is
100-5.76=94.24=94% as at 1988.
Answer:
The counters in a bag are red or blue. Assume 5 in total.
Step-by-step explanation:
You can subtract 4x from each side of the equation.
Then you'll have the variable only on one side.
Before: 5x - 7 = 4x - 1
After: x - 7 = - 1
Now it's a lot easier to solve.
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I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:
Original equation: 5x - 7 = 4x - 1
Subtract 4x from each side: x - 7 = - 1
Add 7 to each side: x = 6
(Once you subtracted 4x from each side,
there really wasn't much more left to do.)
The correct answer is 1.414 or 1
