Answer: The correct option is (B) square root of 36.
Step-by-step explanation: We are given to select the correct number that is irrational.
RATIONAL NUMBER: The digits after the decimal are either terminating or repeating.
IRRATIONAL NUMBER: The digits after the decimal are non-repeating and non-terminating.
Option (A) is 4.121221222 . . .
Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.
Option (B) is square root of 36, which is equal to 6.
6 = 6.00.
Here, the digits after the decimal are terminating. So, the given number is rational.
Option (C) is square root of 21.
We know √21 = 4.5825756 . . .
Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.
Option (D) is 1.192744502 . . .
Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.
Thus, the rational number is square root of 36.
Option (b) is correct.
3. Solve 2x-3y=11 by elimination. Express your answer as an ordered paired.
3x+3y=9
4. Solve 2x - 5y = -7 by elimination. Express your answer as an ordered pair.
5x - 3y = 11
5. Order the list of numbers from least to greatest
4.9 X 10^11 , 8.9 X 10 ^18 , 1.3 X 10 ^8 , 6.7 X 10 ^8 , 2.7 X 10 ^18
Answer:
y = 2x + 3
Step-by-step explanation:
To find the equation of a line, you need 2 things:
1) gradient/slope
2) 1 set of x and y coordinates
To find the slope:
If 2 lines are parallel, they have exactly the same gradient.
So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).
To find the equation of the line:
Start with this generic equation:
y - y1 = m (x-x1)
We know that:
(x1, y1) -> (-2, -1) and m= 2
So, we can substitute for the equation:
y- (-1) = 2 (x -(-2))
Simplify, by expanding the brackets:
y + 1= 2 (x+2)
y + 1 = 2x + 4
Rearrange for y:
y = 2x + 3
To double check:
1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct
2) Sub in x= -2, and you should get y=-1
y = -4 + 3 = -1, so that's correct too
Hope that helped : )