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Luba_88 [7]
3 years ago
5

Which of the following intervals represents the set (1,4) u [2,6]?

Mathematics
2 answers:
fenix001 [56]3 years ago
8 0
Set is a sum of two intervals :(1,4) u [2,6] 
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x\leq 6
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent

garri49 [273]3 years ago
4 0
(1;\ 4)\ \cup\ [2;\ 6]=(1;\ 6]\\\\Answer:A.

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bagirrra123 [75]

Answer:

x ≈ 3.1 ft

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector, thus

The triangle is right with base = \frac{1}{2} x

Applying Pythagoras' identity to the right triangle, then

(\frac{1}{2} x )² + 1.4² = 2.1²

\frac{1}{4} x² + 1.96 = 4.41 ( subtract 1.96 from both sides )

\frac{1}{4} x² = 2.45 ( multiply both sides by 4 )

x² = 9.8 ( take the square root of both sides )

x = \sqrt{9.8} ≈ 3.1 ft ( to the nearest tenth )

7 0
3 years ago
Simplify this algebraic expression completely.<br> 5y - 3(y+ 2)
aliya0001 [1]

Answer:

2y -6

Step-by-step explanation:

5y - 3(y+ 2)

Distribute

5y -3y -6

Combine like terms

2y -6

4 0
3 years ago
Which expressions are equal to a(6−2a) ?Select each correct answer.
marysya [2.9K]

Answer: e. 6a-2a^{2}


Step-by-step explanation:

1. You have the following expression given in the problem:

a(6-2a)

2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by a. Then, you obtain:

a(6-2a)=(a)(6)-(a)(2a)=6a-2a^{2}


8 0
3 years ago
Parallel lines cut by transversal. How to find angle measure.
allochka39001 [22]
#1 30
#2 150
#3 110
#4 60

#5 2x+50+3x=180
combine like terms

5x+50=180
subtract 50 from both sides

5x=130
divide both sides by 5 to isolate the variable

x=26

#5 3x=3(26)=78
#6 2x+50=2(26)+50=102

#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD

#8 AGE and FHD, CHF and EGB
7 0
3 years ago
What is the GCF for each set of numbers 12 and 20
Likurg_2 [28]
4 is the GCF.

Explanation:
4x3=12
4x5=20
5 Isn’t a factor of 12, and 6 isn’t a factor of 20. Each number above doesn’t work, so the greatest common factor of the numbers 12 and 20 must be 4.
8 0
2 years ago
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