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Tcecarenko [31]
3 years ago
5

Interval notation on a number line

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

x>-3 : All numbers greater than -3, not including -3. The interval is (-3, inf)

x<=2: All numbers less than 2, including 2.The interval is (-inf, 2]

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katovenus [111]
A(0,-1)
B(3√3/3, 2)

Slope of AB = (y₂ - y₁)/(x₂-x₁)
Slope = (2-1)/(√3/3 , -0)

Slope = 1/√3/3 = 1/√3 = √3/3

OR SLOPE = tan(a°) = √3/3 and a° = 30°

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3 years ago
the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?
GalinKa [24]
Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats.  So yes, there are more floor seats than balcony seats.
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In the diagram, △ABC∼△DEF. The area of △ABC is 180 square centimeters. Find the area of △DEF.
Alexeev081 [22]

Answer:

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Step-by-step explanation:

The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).

Now, for the similarity reason of the areas, we just square that number (3^2=9).

Then we just divide the area of the big triangle by 9, which is 180/9= 20.

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Step-by-step explanation:

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Answer:Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.

Step-by-step explanation:

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