58 - 47 = 11
(written out in spoken words)
fifty-eight minus forty-seven equals eleven
Hope this helps!
Answer:
The black tulle is the better buy
Step-by-step explanation:
You will need to find the unit rate for the tulle...in other words cost per 1 yard to see which is the better buy.
You also need to make sure they are in the same units. So, we will convert the 3 yards to feet....which will be 9 feet
5.63/9 = 0.62555 per foot
3.58/6 = 0.59666 per foot
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
1. (x + 2)² + (y - 9)² = 64
2. (x + 6)² + (y - 9/2)² = 100
3. (x - 15)² + (y + 10)² = 1
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
1. Center: (-2, 9), Radius: 8
(x - (-2))² + (y - 9)² = 8²
(x + 2)² + (y - 9)² = 64
2. Center: (-6, 9/2), Radius: 10
(x - (-6))² + (y - (9/2))² = 10²
(x + 6)² + (y - 9/2)² = 100
3. Center: (15, -10), Radius: 1
(x - 15)² + (y - (-10))² = 1²
(x - 15)² + (y + 10)² = 1
THis is a cool question.
1) Use the point slope form to find the equation of the lines between two of the points (choose two points that when a line is drawn between them make a chord on the circle).
2) Use the midpoint of a line equation to find the midpoint of the line, then find the slope of the line that is perpendicular at that point and write an equation for it.
3) Then do the same thing for the other two points that form a chord on the circle.
4) Then set the two equations equal to each other and solve. The point where they meet is the circumcenter.
