Answer:

Step-by-step explanation:
1. let x be the unknown number.
-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.
-The in equality is written as:

2.Let the amount Chris has be y.
-At most is a term of inclusivity implying less than or equal to a specified quantity.
-$5 less than twice y will therefore be represented as:

3. It is clear that the minimum age to have a drivers license is 16.
-Let x be the age of a driver whose age is unknown.
-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.
-Our inequality symbol is that of equal to or greater than, thus:

4. let x be the number of CD's bought and y of DVD's bought.
-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.
-They can only buy a number of units whose price is less than or exactly $65, thus:

Answer:
Center: (6, -12)
Radius: 4
Step-by-step explanation:
<u>Complete the squares</u>
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Comparing with the standard form equation
, since
, then the radius of the circle is
. Also, the center of the circle would be
.
Answer:
radius = 10
Step-by-step explanation:
As AB is the diameter of the circle, the angle ACB inscribes an arc of 180 degrees, so it is a 90 degrees angle, then the triangle ACB is a right triangle, with hypotenusa AB.
We can find the length of the diameter AB using the Pythagoras' theorem:
AB^2 = CA^2 + CB^2
AB^2 = 12^2 + 16^2 = 400
AB = 20
The radius of the circle is half the diameter, so the radius is 20 / 2 = 10
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