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Mama L [17]
3 years ago
14

How to determine if an expression is rational or irrational?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0
If it is rational, it has a terminating decimal or a repeated decimal number (ex. 56, or 1.25, or 3.666...)

If it is irrational, it is an ongoing number with no pattern (ex. 3.14159265... Which is pi)
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Help!! I have this for a test and im very confused
skad [1K]

Answer:

check this out

Step-by-step explanation:

3 0
2 years ago
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Which system of equations is consistent and dependent?
MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0
3 years ago
Read 2 more answers
How would you factor 5x²+17x+6=0
labwork [276]
5x^2+17x+6=0
(5x+2)(x+3)=0
5x+2=0 x+3=0
x=-2/5 x=-3
Cheers,Irys
6 0
3 years ago
A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ
wlad13 [49]

Answer:

The center of the circle is C(x,y) = (2, 3).

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y) (1)

Where:

C(x,y) - Center.

R_{1} (x,y), R_{2} (x,y) - Location of the endpoints.

If we know that R_{1} (x,y) = (-2,10) and R_{2} (x,y) = (6,-4), then the location of the center of the circle is:

C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)

C(x,y) = (-1, 5) + (3, -2)

C(x,y) = (2, 3)

The center of the circle is C(x,y) = (2, 3).

8 0
2 years ago
Oleg and Anya drew these models to help them find the difference of 3/4 and 1/2.
Nikitich [7]

Answer:

C

Step-by-step explanation:

Oleg is correct because the least common denominator of both is 4, so each must have 4 peices

3 0
2 years ago
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