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mart [117]
3 years ago
12

How would you write the following in interval notation:

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer: x = (1,9]

Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).

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Delvig [45]

Answer: Second option.

Step-by-step explanation:

The slope of a line can be calculated with this formula:

 m=\frac{y_2-y_1}{x_2-x_1}

Then, you need to choose two points of the line shown in the graph and substitute them into the formula for calculate the slope:

Let's pick the points (-4,4) and (4,-2).

Substituting:

m=\frac{-2-4}{4-(-4)}

Simplifiying,  you get that the slope of the line in the graph is:

m=\frac{-2-4}{4-(-4)}\\\\m=\frac{-6}{4+4}\\\\m=\frac{-6}{8}\\\\m=-\frac{3}{4}

6 0
3 years ago
In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
natita [175]

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

<em>Additional comment</em>

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

6 0
2 years ago
11+11=4<br> 22+22=16<br> 33+33=<br> What’s the answer
s344n2d4d5 [400]

Answer:

what method exactly r u using ????

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3 years ago
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Karolina [17]
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8 0
3 years ago
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Can somebody help me with this problem. Like asap
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Answer:

asap

Step-by-step explanation:

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