This is not the most effective graphing type. A line graph is more effective because they are commonly used to express a change over time. In addition, line graphs are also used to compare numerical factors that would have an effect on each other. This is true for number of suits and time. Furthermore, bar graphs are commonly used to compare a quantitative (numerical) and qualitative (non-numerical) factor that do not affect each other. For example, store number and number of suits sold would be a bar graph.
Since we know a = 3, substitute this into the expression:
2a² = 2 x 3²
3² = 9
So 2a² = 2 x 9
2a² = 18
We know b = 2 and c = 1, so substitute these values into the expression:
3b² - c³ = 3 x 2² - 1³
2² = 4
1³ = 1
So:
3 x 4 - 1
Using the order of operations we multiply first:
3 x 4 = 12
Take off the 1:
Final answer:
3b² - c³ = 11
Answer:
below
Step-by-step explanation:
4(3 + 1)(3 + 3)(3 + 5)(3 - 5)
4(4)(6)(8)(-2)
16(-96)= -1536
Answer:
a) center: (-3, 2)
b) radius: √65
c) equation: (x +3)² +(y -2)² = 65
Step-by-step explanation:
a) The center (point A) is the midpoint of the diameter, so its coordinates are the average of the endpoint coordinates:
A = (P +Q)/2 = ((-10, -2) +(4, 6))/2
= (-10+4, -2+6)/2 = (-6, 4)/2
A = (-3, 2)
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b) The radius is the distance from the center to one end of the diameter. The distance formula can be used to find that.
r = √((x2 -x1)² +(y2 -y1)²) = √((4-(-3))² +(6 -2)²) = √(49+16)
r = √65
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c) The circle centered at (h, k) with radius r has formula ...
(x -h)² +(y -k)² = r²
So the formula for this circle is ...
(x +3)² +(y -2)² = 65
