AC is tangent to circle o at point C.
What is the length of AB?
units
Please help. Giving out 30pts

The length of AB is 18 units

Explanation:

AOC forms a right angle triangle

where,

OC is the height

AC is the base

AO is the hypotenuse

Using pythagoras theorm:

(AO)² = (OC)² + (AC)²

(AO)² = (7)² + (24)²

AO = 25 units

Length AB = ?

According to the figure:

AO = AB + BO

25 = AB + 7                     (OB is the radius of the circle)

AB = 18units

Therefore, the length of AB is 18 units

AB=18

Step-by-step explanation:

Got it wrong on Khan. :p

The equation is y = $72.99 + $28.45(x - 1), where y is the monthly charge and x is the month in which it is calculated.

Step-by-step explanation:

Step 1; First we need to establish a relation between the difference in costs. For the first month it cost $72.99, during the second month, it costs $101.44 and in the third month, it costs $129.89. Difference in rates

Second months rate - First months rate = $101.44 - $72.99 = $28.45

Third months rate - Second months rate = $129.89 - $101.44 = $28.45.

So for every consecutive month, the charges increase by $28.45

Step 2; Now we develop an equation,

y = $72.99 + $28.45(x - 1), where y is the charge that month and x is the month in which it is calculated.

For x = 1, y = $72.99 + $28.45(1 - 1) = $72.99 + $28.45(0) = $72.99,

For x = 2, y = $72.99 + $28.45(x - 1) = $72.99 + $28.45(2 - 1) = $101.44,

For x = 3, y = $72.99 + $28.45(3 - 1) = $72.99 + $28.45(3-1) = $129.89.

So this is the equation to calculate the cost y the mobile provider charges in month x.