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:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) = 
To find: the perimeter of the star
Solution:
Area of the shaded region (square) = 
Area of square = 

As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
= 8 × 3 = 24 cm
20 kilograms is 200 hectograms
The limit is 200 hectograms and his suitcase is 220 hectograms.
Subtract 220-200 and his suitcase is over by 20 hectograms.
He will have to remove 20 hectograms
Answer:
The answer is correct
Step-by-step explanation:
Answer:
The inglation rate can be calculated as:
R = ((year2 - year1)/year1 )*100%
A)
Year 1 = $132.00
Year 2 = $134.50
R = (($134.50 - $132.00)/$132.00)*100% = 1.89%
B)
Year 1 = $95.00
Year 2 = $97.50
R = (($97.50 - $95.00
)/$95.00
)*100% = 2.6%
C)
Year 1 = $100.00
Year 2 = $102.00
R = (($102.00 - $100.00
)/$100.00
)*100% = 2%
D)
Year 1 = $88.00
Year 2 = $89.25
R = (($89.25 - $88.00
)/$88.00
)*100% = 1.4%
E)
Year 1 = $115.50
Year 2 = $117.50
R = (($117.50 - $115.50
)/$115.50
)*100% = 1.7%
Then the order from least to greatest is:
D, E, A, C, B