Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
We need to find the expressions whose simplified form is a rational number.
Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.
For example: 0,2, 4.3 etc.
Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.
First expression is

12 is a rational number.
Second expression is

is an irrational number.
Third expression is

21 is a rational number.
Fourth expression is

5 is a rational number.
Therefore, the correct options are 1, 3 and 4.
Answer:
For x^2 + 5x - 14 = 0
x1= -7, x2 = 2
For x^2 + 5x + 6 = 0
x1 = -3, x2 = -2
Step-by-step explanation:
Pls see attached....
Answer:
pay attention and do what your supposed to do and you'll be fine also dont pick the wrong group of friends.
Step-by-step explanation:
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The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
<h3>
Right triangles </h3>
Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
- D = (-2,-1)
- E = (-2,2)
- F = (0,0)
<h3>Slopes</h3>
Start by calculating the slopes of lines DF and EF using:

So, we have:


Also, we have:



For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.
i.e.

By comparison, the slopes of both lines are not opposite reciprocals.
Hence, the true statement is (c)
Read more about right triangles at:
brainly.com/question/17972372
Answer:
b
Step-by-step explanation: