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Dima020 [189]
3 years ago
12

Determining rational and irrational numbers quick 25 pts

Mathematics
2 answers:
Arlecino [84]3 years ago
4 0
11/15 + 7 ⇒ rational ⇒ the sum of two rationals is always rational

√14+13 ⇒ irrational ⇒ the sum of a rational and an irrational  is always irrational

30×√6 ⇒ irrational ⇒ the product of a nonzero rational and an irrational  is always irrational

11/12 × 7/15 ⇒ rational ⇒ the product of two rationals is always rational
Lina20 [59]3 years ago
4 0

Answer:

11/15 + 7 : rational 


√14+13 : irrational 


30×√6 : irrational 


11/12 × 7/15 : rational 


Hope it helps!


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What is an equation of the line that passes through the point (-6, -1) and is perpendicular to the line 6x-y= 7?
yuradex [85]

Answer: y=- 1/6x-2

Step-by-step explanation:

7 0
3 years ago
Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3
Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:  

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.  

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0
3 years ago
Help PLSS HELP ASAP<br> TAN^2 X + SQRT3 TAN X =[0}
Delicious77 [7]

\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}

see this attachment ☝☝☝

8 0
3 years ago
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melomori [17]
Mid point formula =
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x=
x+0 = 8
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x+0 = 8 x 2
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y=
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/2
y-2 =1 x2
y=2+2
y=4

(16,4)

(In this case, the midpoint (x ,y) will be represent as the answer)
7 0
3 years ago
Use the Distributive property to write each expression as an equivalent algebraic expression.
Kryger [21]

Answer:

Step-by-step explanation:

we will use distributive property to write an equivalent expression:

7(-2x)+7(6)

6 0
3 years ago
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