Given a circle described by the equation:

and a function g(x) given by the table

The function g(x) describes a straight line with the equation:

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0
Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
- Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
- Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.
The variable <em>x</em> is the number of pairs of pants.
The total cost function for Kelsey will be:

The total cost function for Jeana will be:

Consider that both pay the same total cost for their purchases.
Compute the value of <em>x</em> as follows:


Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Answer:
A=B
Step-by-step explanation:
Equation 1: 70% of A = 0.7a
Equation 2: 35% of B = 0.35a
Equation 3 = (Equation 2) • 2
Equation 3: 70% of B = 0.7a
Equation 3 = Equation 1
A = B
Answer:
75.
Step-by-step explanation:
If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.
The percentile 50 falls in the middle of this range, therefore, the value that represents the 50th percentile will be:
(65 +85) / 2 = 150 / 2 = 75.
Cos ( ∠C ) = 5/13 = 0.38462
m ∠C = cos^(-1) 0.38642 = 67.4°
m ∠A = 90° - 67.4° = 22.6°
m ∠C - m ∠A = 67.4° - 22.6° = 44.8°
Answer:
B ) 44.8°