Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the
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<h3>Answers:</h3>
7) Center= (-1,2) Radius= Equation:
8) Center= (3,13) Radius= 13 Equation:
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Explanation:
Problem 7
Let's find the distance from (-1,2) to (-3,4)
This is the radius because it stretches from the center to a point on the circle, so
Squaring both sides will get us
One useful template for a circle is the equation
(h,k) is the center
r is the radius
Let's plug in the given center (h,k) = (-1,2) and the r^2 value we found earlier.
You can confirm this by using a tool like Desmos. See below.
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Problem 8
The endpoints of the diameter are (-2,1) and (8,25)
The center is the midpoint of these endpoints.
The midpoint of the x coordinates is (-2+8)/2 = 3
The midpoint of the y coordinates is (1+25)/2 = 13
The center is (h,k) = (3,13)
Now find the distance from the center to one of the points on the circle, let's say to (8,25)
The radius is exactly 13 units.
So,
is the equation of this particular circle.
Visual confirmation is shown below.
The possible digits are: 5, 6, 7, 8 and 9. Let's mark the case when the locker code begins with a prime number as A and the case when <span>the locker code is an odd number as B. We have 5 different digits in total, 2 of which are prime (5 and 7).
First propability:
</span>
<span>
By knowing that digits don't repeat we can say that code is an odd number in case it ends with 5, 7 or 9 (three of five digits).
Second probability:
</span>
First propability:
</span>
<span>
By knowing that digits don't repeat we can say that code is an odd number in case it ends with 5, 7 or 9 (three of five digits).
Second probability:
</span>
First off, let's convert 0.25 to a fraction, notice, it has two decimals, therefore, we'll use two zeros on the denominator, two decimals, two zeros, thus,
